The Dodgers won for the fourth time in five games after suffering through an eight-game losing streak.
Adrian Gonzalez and starting pitcher Zach Greinke both singled in a run to give Los Angeles a 2-0 lead through two innings and Carl Crawford added an insurance tally with a sacrifice fly in the eighth.
Greinke (2-0), making his first start since April 11 after suffering a broken collarbone, went 5 1/3 innings to get the win. He allowed the lone Washington run on five hits with four strikeouts.
Washington starter Ross Detwiler (2-4) suffered an apparent injury while covering first base in the third inning. He finished the third, but did not come out for the fourth and wound up taking the loss.
Celebrity Breakups and divorces of 2014 [PHOTOS]