Young finished with a game-high 29 points for Los Angeles, which erased a 17-point, second-half deficit en route to a second straight victory.
Pau Gasol added 22 points and nine rebounds as the Lakers posted their first back-to-back wins in nearly a month.
Ryan Kelly chipped in 17 points and Kendall Marshall provided a double-double of 10 with 11 assists.
The Atlantic Division-leading Raptors had their six-game home winning streak snapped despite 23 points from DeMar DeRozan and 21 from Kyle Lowry.
Celebrity Couples of 2014 [PHOTOS]