From the official NHL release:
MEDIA UPDATE -- OVERTIME
For the first time in 61 years, Games 1 and 2 of the Stanley Cup finals will be decided in overtime. In the epic 1951 Stanley Cup finals, all five games between the Toronto Maple Leafs and Montreal Canadiens went to extra time. The Maple Leafs won four of the five games to capture the Stanley Cup.
Tonight marks the 25th overtime game of the 2012 Stanley Cup playoffs, the third-highest total for one playoff year. Road teams are 15-9 in overtime this postseason. The Kings are 3-0 (goal-scorers: Jarret Stoll, Dustin Penner, Anze Kopitar), all victories coming on the road. The Devils are 4-2 (goal-scorers: Adam Henrique-2, Travis Zajac, Alexei Ponikarovsky), including a 3-1 mark at Prudential Center.
MOST OVERTIME GAMES, ONE PLAYOFF YEAR:
28 - 1993
26 - 2001
25 - 2012 (through Game 2 of the Stanley Cup finals)