Kempe, who scored the final four goals in a 6-0 win against the Pittsburgh Penguins on Saturday, scored short-handed to give Los Angeles a 1-0 lead at 9:20 of the second period.
Kempe is the third player in Kings history to score five straight goals, joining Tomas Sandstrom (Nov. 22-24, 1990) and Luc Robitaille (Feb. 4-6, 1992).
"Goal-scorer gets hot, and just hot stick, and it goes in," Arvidsson said. "I've been in those situations before, and it's nice to be in that kind of groove."