The Los Angeles Lakers beat the Charlotte Bobcats 121 to 53. That is a point differential of 68 points.
The largest win in NBA finals history was recorded when the Chicago Bulls beat the Utah Jazz by 42 points in game 3 of the '98 finals.
The largest margin of victory in the shot-clock era was 68, when the Cavaliers beat the Heat 148-80 in Cleveland on Dec. 17, 1991
I'm not sure if this one is the biggest scoring differential or not, but in the 1991 Stanley Cup Final game 6 the Pittsburgh Penguins beat the Minnesota North Stars 8-0 to clinch the Stanley Cup. That is the biggest that I recall
The Chicago Bulls beat the Utah Jazz 96-54 in Game 3 of the 1998 NBA Finals.
For a game in the NBA Finals, that would be 42 points when the Chicago Bulls defeated the Utah Jazz, 96-54, in Game 3 of the 1998 Finals. Second largest is 39 points when the Boston Celtics defeated the Los Angeles Lakers, 131-92, in Game 6 of the 2008 Finals. Third largest is 36 points when the San Antonio Spurs defeated the Miami Heat, 113-77, in Game 3 of the 2013 Finals.
Ray Allen with the Celtics in the 2010 nba finals,game 2
It was the 1940 NFL championship game, where the Bears beat the Redskins by a score of 73-0.
It was the Las Angeles Lakers vs. the record setting (for most losses in a season) Cleveland Cavaliers. The score was 112 - 57; a 55 point differential.
heat won game 1 of the 2011 nba finals