We tried the New LAX Economy Parking Lot on our Trip to South America via LAX.
What we found was if you reserve you parking space online the price drops from $30.00 a day to $16.00 a day.. Prices my vary..

We parked for 7 day:
Full Price @ $30.00 a day = $210.00
Online Price @ $16.00 a day = $112.00
Saving: $98.00

Address :
6100 W 94th St, Los Angeles, CA 90045

Pre-booking Website:
https://parking.flylax.com/