How many possible total games in NHL playoffs?

There are at least 4 games per best of seven series with a maximum of 7 games per series played. There are a total of 15 series (7 series per conference plus 1 for the Stanley Cup). That's at least 60 games with a maximum of 105 games (if every series goes to game 7).

Each team plays 4 series. That means they play at least 16 games with a maximum of 28 games (assuming the team makes it to the Stanley Cup playoffs).

TL&DR:

16-28 games per team (assuming they go to the Stanley cup Playoffs).

60-105 games overall.