ANAHEIM, Calif. — Even on a day when their rotation took a hit, the Yankees continued to roll.

Hours after Clarke Schmidt was diagnosed with a strained lat that could sideline him for around two months, Carlos Rodon just kept chugging along, pitching six strong innings and receiving plenty of late run support on the way to an 8-3 win over the Angels on Thursday night at Angel Stadium.

Rodon allowed a solo home run in the second inning but didn’t flinch, going on to retire 14 straight batters after that before running into some trouble in the seventh. He was eventually charged with three earned runs — becoming the first Yankees starter to allow more than two since May 11, snapping a record-breaking streak of 16 straight games pitching at least five innings and giving up two or fewer runs — but it hardly mattered.

“Sign me up for six-plus innings and three runs that Carlos got us tonight,” manager Aaron Boone said. “Start another [streak] hopefully tomorrow.”

In the early innings, Boone felt the Yankees (39-19) needed a shot of energy, but Aaron Judge delivered it in the form of a two-run home run in the fourth that gave them a 2-1 lead.

The 433-foot blast — tying him for the major league lead with 18 home runs — gave him 12 home runs and 12 doubles in May, joining only Lou Gehrig as the Yankees to accomplish that feat in a single month.

“Good month, let’s try to repeat it next month,” said Judge, who agreed that the Yankees were flat in every game this series but did something to change it.

“He’s pretty good, wouldn’t you say?” Rodon said. “That’s why he’s the captain.”

Winning the rubber game with the Angels (21-35), the Yankees clinched the series victory — doing so for the 14th time in their first 18 series of the season for only the seventh time in franchise history.

After improving to 4-2 on their 10-day, nine-game west coast swing, the Yankees flew to San Francisco, where they will finish off their longest trip of the season this weekend.

Besides the starters’ streak, Anthony Volpe’s career-high 21-game hitting streak also came to an end on Thursday night.

But instead of chasing a hit with the bases loaded in the seventh inning, he worked the Yankees’ third straight walk, forcing in a run to make it a 4-1 lead.

Juan Soto came up next and delivered the knockout punch off lefty reliever Jose Suarez, chopping a triple down the right-field line that cleared the bases and pushed the Yankees ahead 7-1.

Rodon, returning to the place where he had one of his low moments last year by blowing a kiss to a heckling fan behind the dugout after a rough start, continued his bounce-back season.

He pitched into the seventh inning for the fourth time in his last five starts, a stretch in which he has posted a 2.37 ERA.

Across 12 starts this season, the left-hander now owns a 3.09 ERA.

After giving up a solo home run to Long Island’s Logan O’Hoppe in the second inning, Rodon locked in and carried a one-hitter into the seventh inning.

“He didn’t flinch,” Boone said. “O’Hoppe put a charge into it and he kind of looked at it like, ‘Oh well.’ Moved right on. Right away, I felt like right after that, he started making more pitches. He’s doing a really good job with that, of just, ‘Game plan, next pitch, next pitch,’ focus on handling his business and not getting too caught up in the result of one pitch. Just a strong outing by him and he’s doing well.”

Though the Yankees will now be without Schmidt for a while, Judge said he was confident they would find a way to keep winning.

“[The rotation is] the best in the game right now,” Judge said. “The news about Clarke definitely hurts, but I know guys will definitely pick up the slack and keep it rolling.”