DETROIT (AP) -- When Max Scherzer is on the mound, the Detroit Tigers have a chance to win pretty much any game -- even without their top two sluggers.
Scherzer pitched seven impressive innings, outdueling Zack Greinke and helping the short-handed Tigers beat the Los Angeles Dodgers 4-1 on Wednesday.
Detroit was without Miguel Cabrera, who was given a day off, and Victor Martinez, who is dealing with a lingering back issue.
"Baseball's that type of game," Tigers manager Brad Ausmus said. "Even without your best player, you can go out there and win."
The AL Central-leading Tigers scored two runs in the first inning against Greinke, and Scherzer (11-3) made the lead hold up.
The All-Star right-hander allowed a run and four hits. He struck out seven and walked two.
Joba Chamberlain struck out two in the eighth, and Joe Nathan struck two in a perfect ninth for his 18th save in 23 chances.
Greinke (11-5) allowed three runs and seven hits in seven innings. He struck out eight without a walk.
"You look at their lineup today, and you think you are getting a break with Cabrera and Victor being out," Greinke said. "But they were putting up great at-bats all day. I was throwing good pitches."
Miguel Rojas of the Dodgers hit his first career homer in the fifth.
Scherzer escaped a first-inning jam thanks to some impressive fielding behind him. Yasiel Puig hit a one-out triple, but with the infield in, Hanley Ramirez hit a sharp grounder to Eugenio Suarez, and Detroit's rookie shortstop threw quickly to third to catch Puig off the base.
"That was a great play," Scherzer said. "He just made an instinct play -- saw Puig was off the base, and made a quick little snap throw. That just helped keep the game where it was."
Rajai Davis made a sliding catch in left field for the third out.
Austin Jackson opened the bottom of the inning with a triple and scored on Ian Kinsler's single. Kinsler advanced to second on a wild pitch and scored on a two-out single by Don Kelly off Greinke.
"You let a guy like that settle in, it can be a long day," Jackson said. "For us to kind of get something going there that first inning, that definitely sparked us."
Greinke was sharp after that. Detroit scored again in the fourth on an RBI single by Nick Castellanos, but the Los Angeles right-hander retired the last nine hitters he faced, striking out the final four.
But the Dodgers couldn't overcome Scherzer. They put men on first and second in the third, but Puig hit into a double play. In the sixth, Puig hit a leadoff double, but the next three batters couldn't hit the ball out of the infield.