Clayton Kershaw warmed up for the playoffs and started the shutout with six innings, during which he gave up four hits, walked no one and struck out eight.
Kershaw (16-9) did not allow a run in either of his last two starts of the season.
Los Angeles got off to a quick start with four runs in the first, two of them coming on a double by Juan Uribe. Adrian Gonzalez added a solo homer in the third, Crawford's blast came in the fourth and A.J. Ellis added a two-run shot in the fifth.
Collin McHugh (0-4) allowed eight runs on nine hits in four innings to take the loss.
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