The victory followed four straight Kansas City losses and ran the Galaxy's winless streak to 12 matches.
With the win, combined with Toronto FC's 1-1 tie with Columbus Saturday, Kansas City (7-9-8) escaped from the Eastern Conference cellar.
The Galaxy (6-10-8) is mired in last place in the Western Conference with the worst record in the league. LA hasn't won a match since June 14 -- a stretch of 91 days.
Celebrity Couples of 2014 [PHOTOS]