Depending on which part of town you're in. If you're in West Hollywood, there is free parking on Fairfax Ave.and La Brea Ave. The easiest way to find free parking in downtown LA is to use an interactive map, like this one.
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Free short-term parking on green curbs: Between 8 AM and 6 PM Monday-Saturday, you're able to park your car for 15-30 minutes, depending on the posted signs nearest you. If you park here outside of the regulatory hours, there is no time limit!
LAX has two Cell Phone Waiting Lots where motorists meeting arriving passengers can wait for free, up to two hours, until passengers are ready to be picked up in the Central Terminal Area.