The last NL side to achieve that fear were the Pittsburgh Pirates in 1909. The Dodgers better their record still, with four regular-season games remaining.
The Dodgers also became just the seventh side in MLB history to record 110 wins in a single season, joining the 2001 Mariners (116), 1906 Cubs (116), 1998 Yankees (114), 1954 Cleveland (111), 1927 Yankees (110) and 1909 Pirates (110).
It was not easy this time, trailing 4-1 entering the seventh inning before a patient batting performance where they drew five straight walks, before Cody Bellinger's sacrifice fly tied the game.
Joey Gallo's sac fly put the Dodgers ahead in the eighth inning before Bellinger's RBI single padded the win.
The victory was the Dodgers' 47th comeback of the season, improving their overall record to 110-48.
Trailing 2-1 at the bottom of the fifth inning with one out on a 3-2 pitch, Swansby blasted Scherzer over center field to homer for the second consecutive day.
The result means the Braves (99-59) lead the NL East by one game with four remaining, sitting ahead of the Mets (98-60).
Padres slug three home runs
At 1-1 at the bottom of the sixth inning, Cronenworth deposited a slider from Cy Young hopeful Dylan Cease for a two-run blast over right field.
San Diego are in the second slot with a 87-71 record, while the Brewers are fourth at 84-74, either side of the Philadelphia Phillies (85-73) who beat the Washington Nationals 8-2 after Kyle Schwarber's leadoff blast.