The Kings played their grittiest game of the season, outshooting Colorado 38-30 after recording a season-low 21 shots in Thursday's 4-1 loss against Nashville. They took their only lead when Conroy poked a rebound past Jose Theodore from the edge of the crease.
Los Angeles rallied twice from one-goal deficits after defenceman John-Michael Liles' goal tied it 4-4. Cammalleri got his 12th of the season during a power play. Pierre Turgeon regained the lead for the Avalanche with a long wrist shot after a turnover by Kings captain Mattias Norstrom, but Scott Thornton got the equalizer with 9:38 left.
Tom Kostopoulos also scored for Los Angeles and Derek Armstrong had two assists.
Colorado captain Joe Sakic scored a power-play goal and set up another Liles' goal. Antti Laaksonen also scored for the Avalanche.
Turgeon played in his second game after missing the first 27 following off-season shoulder surgery. His 512 career goal tied Gilbert Perreault for 30th place on the NHL list.