The Los Angeles Lakers beat the Charlotte Bobcats 121 to 53. That is a point differential of 68 points.
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 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
The Chicago Bulls beat the Utah Jazz 96-54 in Game 3 of the 1998 NBA Finals.
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.
The largest margin of victory was a 68 point rout of the Miami Heat by the Cleveland Cavaliers on December 17th, 1991. The final score was 148-80.
Mitch Richmond
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.
If I knew what the score of game 2 of the NBA Finals was going to be, I could make a lot of money. I can tell you that the San Antonio Spurs are 3 1/2 point favorites over the Miami Heat and that the Spurs won game one.
11 runs ... the St. Louis Cardinals defeated the Detroit Tigers 11-0 in Game 7 of the 1934 World Series and the Kansas City Royals defeated the St. Louis Cardinals 11-0 in Game 7 of the 1985 World Series.
I don't know about the minor leagues, but the largest difference in the major leagues is 30-3 (27 runs).
Ray Allen holds the NBA 3 point record he did it in the 2010 2011 NBA season against the Miami Heat in Game 7 of the NBA Finals