The 6-foot-10 center shot 18 of 32 from the field in 38 minutes, scoring only four of his points at the free-throw line.
Guard Gerald Henderson added 20 points for the Bobcats, who shot 52.3% from the field.
As a team, the Lakers shot only 38.7% from the field.
The Bobcats played with four former Lakers: Josh McRoberts, Ramon Sessions, Chris Douglas-Roberts and Jannero Pargo. Sessions, starting at point guard for Kemba Walker (ankle), scored nine points and had 13 assists.
With their sixth straight loss, the Lakers fall to 16-31. The team will rest over the weekend before visiting the Minnesota Timberwolves (23-23) on Tuesday.
The Bobcats (21-27) travel to Phoenix to play the Suns (28-18) on Saturday.
The Bobcats pushed their lead to 20 points before a late Lakers' rally closed the gap to 12.
Rookie forward Ryan Kelly converted a four-point play with 11.5 seconds left in the quarter and has 11 points in the game. Guard Jodie Meeks leads the Lakers, who shot 37.9% from the field, with 17 points.
The Bobcats were led by center Al Jefferson with 24 points and 14 rebounds.
Charlotte shot 50% from the field and had a 41-29 rebounding advantage over the Lakers.
Nick Young also scored 15 points off the bench for the Lakers.
The Lakers managed to whittle down a double-digit deficit in the second quarter, but it didn't last.
The Bobcats shot 58.1% from the field with 31 points in each quarter to head into halftime with a 13-point lead.