Priester (8-2) allowed three hits and struck out a season-high 10 on 77 pitches. He struck out the side in the first and fifth. All-Star closer Trevor Megill worked the ninth for his 22nd save.
Durbin yelled “Let's go!” as he rounded the bases after his 410-foot shot to straightaway center field off reliever Kirby Yates with two outs in the seventh.
The Brewers led 1-0 on Durbin's RBI double into the left-field corner that scored Isaac Collins, who walked leading off the fifth.
Glasnow (1-1) gave up one run and four hits in six innings while striking out six.
Key moment
The Dodgers twice had the potential tying run in scoring position. Freddie Freeman doubled in the fourth but Will Smith lined into a double play, with Freeman getting doubled off second. Shohei Ohtani reached on a throwing error by shortstop Joey Ortiz in the sixth and stole second before Mookie Betts struck out swinging to end the inning.
Key stat
The NL West-leading Dodgers were held to three hits. They've lost eight of 10 games.
Up next
All-Star RHP Freddy Peralta (11-4, 2.66 ERA) starts Saturday for the Brewers. RHP Emmet Sheehan (1-0, 2.03) goes for the Dodgers.
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AP MLB: https://apnews.com/hub/mlb
Credit: AP
Credit: AP
Credit: AP
Credit: AP
Credit: AP
Credit: AP