Fans were still finding their seats when Dodgers lead-off hitter Mookie Betts opened the scoring from the fifth pitch of the game, connecting on a 421-foot home run.
Dodgers catcher Will Smith added another couple of tallies with a two-run homer an inning later to establish a 7-0 lead early, and after the Royals snatched two runs back through a Michael Massey triple later in the second, Lux homered in the third and Muncy homered in the fourth to open up a 10-2 buffer.
Cody Bellinger and Joey Gallo gave Dodgers fans who stuck around for the ninth inning a treat, with another two home runs putting the icing on the cake.
Muncy finished with four hits and four RBIs, while Betts went three-for-four at the plate and both Smith and Lux picked up a pair of hits.
Starting on the mound for Los Angeles, Andrew Heaney made it through three innings before he was forced to leave the game early, suffering a contusion in his throwing forearm.
The last National League team to match the Dodgers' feat were the 1922 Pittsburgh Pirates, who had their 13-game multi-run winning streak snapped exactly 100 years ago to the day.
DeGrom dominates the Phillies
New York Mets ace and arguably the best pitcher in all of baseball Jacob deGrom looked at the peak of his powers in his third start of the season, holding the Philadelphia Phillies scoreless through six innings in a 1-0 win.
DeGrom retired 18 of the 20 batters he faced, striking out 10 and making it through his six innings in an efficient 76 pitches.
The game's only run came in the first inning, with Pete Alonso's base hit scoring Starling Marte, as Phillies starter Aaron Nola also pitched beautifully, going eight full innings with eight strikeouts, allowing one run from four hits and a walk.
Kiner-Falefa the unlikely Yankees hero
The New York Yankees will have a chance to win their three-game series away from home against the Boston Red Sox tomorrow after coming back to win 3-2.
After dropping the first game of their slate 3-2 in extra innings yesterday, the Yankees were in danger of losing their fourth series in a row when they trailed 2-0, before Isiah Kiner-Falefa hit a two-run shot in the fifth inning for his first home run of the season.
With the scores still tied at 2-2 in the last frame, Kiner-Falefa came through again as he was able to bunt for a hit while bringing home Andrew Benintendi from third base. From his 103 games this season, it is only the second time he has collected three RBIs.