Durant put in 19 of his total in the fourth quarter as the NBA-best Thunder rallied from a 15-point deficit to overcome the Lakers and go into the all-star break with a fourth straight win.
Durant also provided 12 rebounds, seven assists and three steals.
Reggie Jackson totaled 16 points for Oklahoma City, which improved to 43-12 on the season.
Chris Kaman supplied 19 points, 10 rebounds and six assists for the injury-riddled Lakers, who dropped a franchise-record seventh straight home game.
Wesley Johnson also had 19 points for Los Angeles.
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