Farmar had been out with a hamstring injury and made the most of his return in helping the Lakers snap a seven-game losing streak.
Ryan Kelly led the Lakers with 26 points and Farmar had 21, hitting 5-of-8 from 3-point range. Los Angeles made 18 long-range shots, the most the Lakers have ever had in a game that did not go into overtime.
Los Angeles put only eight players on the floor during the contest and two of them fouled out.
Los Angeles led by 21 at halftime and won for the first time since capturing a game at Toronto on Jan. 19.
Cleveland lost its sixth straight, getting 27 points from C.J. Miles.