UCLA says the quarantined people are being held for 24 to 48 hour while they await medical records to establish whether they are immune to measles, or need vaccinations.
Los Angeles County already declared a measles outbreak with 5 confirmed cases.
One was UCLA student who came in contact with more than 500 students, faculty, and staff, and visited a library at CalState while contagious.
Los Angeles is a very densely populated area, and the measles virus is highly contagious.
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Department of Public Health director Barbara Ferrer told the board of supervisors 90% of those who aren't immunized will come down with the measles if they come in contact with an infected person.
So they are trying to reach more than 1,500 people who may have been exposed to measles by the five with confirmed cases.
They are focusing on airport workers and students at Cal State Los Angeles and UCLA.
But even as that effort played out in L.A. yesterday, a bitter battle over vaccine exemptions played out in the state legislature in Sacramento.
Lawmakers advanced tougher rules for vaccinations late Wednesday after hearing hours of testimony from hundreds of opponents.
The Senate Health Committee approved the proposal to give state public health officials instead of local doctors the power to decide which children can skip their shots before attending school.
The push coincides with this CDC's announcement there are 695 confirmed cases nationally, the most since 1994.
Lawmakers decided stronger oversight is needed to stem bogus exemptions granted in many cases by doctors who are paid to excuse students from vaccinations.
They acted despite more than three hours of often emotional opposition from parents and some children, and after spending another hour debating where to draw the line between individual rights and public safety.
"Our job here in Sacramento is to try to thread the needle," concluded Democratic Sen. Bill Monning of Carmel. "Your right to your choice should not interfere with the health and safety of my child or grandchild."
The measure passed to a fiscal committee on a party-line vote, with the panel's two Republicans opposed.
Democratic Sen. Richard Pan said his bill would give state health officials the tools they need to prevent outbreaks of vaccine-preventable diseases like measles.
In the first four months of 2019, California has had 28 confirmed cases.
"If we continue to let these fake medical exemptions increase, we're going to have another larger outbreak, and we need to stop that now," Pan said.
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Pan says some schools have exemption rates as 50%, creating an environment ripe for an outbreak.
"But the real problem is is that we have schools that are no longer safe, because they have so many medical exemptions they cannot protect the children who attend that school from an outbreak of disease," said Dr. Pan.
Pan's bill is one of a number of efforts by state legislatures to address measles outbreaks.
Washington state lawmakers voted Tuesday to remove parents' ability to claim a personal or philosophical exemption from vaccinating their children for measles, although medical and religious exemptions will remain.
Oregon is considering removing all non-medical exemptions, drawing the ire of hundreds of parents who came to the state capitol Tuesday to protest.
Opponents of Pan's bill, including members of parental rights and religious groups, doctors and alternative healthcare practitioners, said the measure strips away parents' rights and isn't necessary to prevent outbreaks.
"Now they're going after us parents whose children have been injured by vaccines, and doctors as well," said Christina Mecklenburg, who flew in from her Orange County home. "We can't remain silent any more. Too many of our children are being injured."
She said a vaccine last year left her now 2-year-old daughter, Hayden, cross-eyed with an ocular palsy that wouldn't qualify for a medical exemption if Pan's bill becomes law.
Opponents who jammed the hearing room and nearby hallways criticized the bill and Pan in emotional and personal terms, with several accusing him of "committing crimes against humanity."
''Shame on you," said another, while a third called the bill "evil" and urged him to "please, save your soul."
Dr. Sergio Flores, testifying for the bill on behalf of the California Medical Association, countered that "vaccines save lives."
Dozens of other medical professionals and students, many wearing white medical jackets, also lined up to support the bill.
Sacramento mother Alyssa Hernandez supported the bill, saying a high vaccination rate is necessary to protect her son, Noah, 2.
He received a liver transplant and so cannot be vaccinated himself against many common but vaccination-preventable diseases. "Each of them could be life-threatening for him," she said.
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Supporters said pockets of unvaccinated students are helping to spread measles outbreaks in California and elsewhere.
New Washington State law cracks down on vaccine exemptions.
Pan said a few unethical doctors are helping parents avoid vaccinating their children by selling medical exemptions through word of mouth or online advertising.
California ended non-medical immunization exemptions in 2016, but Pan's bill would follow West Virginia's lead in having public health officials rather than doctors decide who qualifies for medical exemptions.
Doctors would certify that they examined the patient and then send the state health department the reason they are recommending the exemption.
State and county health officials could also revoke exemptions if they are found to be fraudulent or contradict federal immunization standards.
Federal guidelines say less than 1% of children should avoid vaccinations only if they have a severe allergic reaction or impaired immunity such as from a liver problem, the HIV virus or chemotherapy.
Those officials have "never laid eyes on my child," said Catharine Layton, who flew in from her Southern California home. "It totally comes between the patient and doctor relationship, which is sacred."
Layton said her now 5-year-old son, Brennan, suffered a permanent brain injury after he was vaccinated at age 2. "He's pretty much unable to speak, he's in diapers, he functions at the level of an 18-month-old. And prior to the vaccine he was healthy," she said.
Fast facts on vaccines: battles span more than a century.
Statewide immunization rates increased to more than 95% after California abolished the personal belief exemption in 2016, enough to keep most outbreaks from spreading.
But health officials say the rate of medical exemptions has tripled.
It is still less than 1% of school children statewide, but advocates said more than half of students aren't vaccinated in at least three California schools and 50 schools have exemption rates of at least 15%.
Dr. Edmond Sarraf, a pediatrician opposing the bill, said medical exemptions are up only because personal exemptions are no longer permitted.
The bill is backed by the California Medical Association and American Academy of Pediatrics. But more than 100 doctors sent a letter opposing what they called "an ill-advised bill" with a "one-size-fits-all" solution.