American Airlines has a low $107.60 one-way fare between Los Angeles LAX and New York LGA for departures from next week into May 2016. Departures from LAX are Tuesday, Wednesday and Thursday, except next week from LAX when Friday and Saturday are at $108. There are more dates with $108 fares departing New York LGA for LAX and includes some Mondays.
American Airlines New York LGA – Dallas DFW – Los Angeles LAX round trip
$215.20 Saturday February 27 – Tuesday March 1