Great question — answering as the UphillTech team:
2014 and 2006 both had 89 games played in them, based on a cursory scrape of Wikipedia (which is much harder than it should be, btw; some significant editing is needed for consistency!). Those are the two largest number of games played; however, pre 2003 of course the number of games in the first round was fewer, so it's not likely to surpass this. If you weight for number of games in the playoffs, 1988 there were 80 games played out of a max of 89, for 89.9% of possible games played (2014 had 85.7% of possible games played, for reference). 1976 had 50/55 games played, for even higher 90.9%, and every single series went to either 6 or 7 games (plus the two 3 game series which went to 3...
Full answer by Joe: https://sports.stackexchange.com/a/6926 (CC BY-SA 3.0).
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