LOS ANGELES — One win away. Two chances at home. Seven decades of waiting.

The Chicago Cubs closed in on their first World Series trip since 1945 by beating the Los Angeles Dodgers 8-4 on Thursday in Game 5 of their National League playoff.

Jon Lester pitched seven sharp innings , Addison Russell hit a tiebreaking homer and the Cubs grabbed a 3-2 lead in the NL Championship Series.

On deck, a pair of opportunities to wrap up that elusive pennant at Wrigley Field.

“The city of Chicago has got to be buzzing,” manager Joe Maddon said. “We’re not going to run away from anything. It’s within our reach right now.”

The Cubs’ first opportunity to clinch comes Saturday night in Game 6, when Dodgers ace Clayton Kershaw faces major league ERA leader Kyle Hendricks.

“That’s a game we expect to win,” Los Angeles manager Dave Roberts said.

Of course, the Cubs were in the same favorable position 13 years ago — heading home to Wrigley with a 3-2 lead in the NLCS.

But even with ace pitchers Mark Prior and Kerry Wood starting the final two games, Chicago collapsed against the Marlins in one of its most excruciating failures.

More than a decade later, the franchise is still chasing its first World Series championship since 1908.

“We’ve heard the history,” center fielder Dexter Fowler said, “but at the same time we’re trying to make history.”

Budding star Javier Baez was in the middle of everything for the Cubs, a common theme this October. The second baseman made a sensational defensive play when the game was still close in the seventh, and his three-run double capped a five-run eighth that made it 8-1.

After busting out of his postseason slump Wednesday, Russell hit a two-run homer for the second straight game. This one was a sixth-inning drive off losing pitcher Joe Blanton that gave Chicago a 3-1 lead.