FLC OF A B737 LANDED WITHOUT CLRNC AT LAX.

Narrative

MAY HAVE LANDED ON LAX RWY 24R WITHOUT CLRNC. EVENT CHRONOLOGY: WE HAD FLOWN THE PDZ 4 ARR FROM TUS VIA THE TNP TRANSITION AND WERE TOLD BY SOCAL APCH TO EXPECT RWY 24R; WHICH WE WERE CLRED FOR. AFTER CALLING THE ARPT IN SIGHT; WE WERE CLRED FOR THE VISUAL; RWY 24R. THERE WAS A LOT OF TFC AND A LOT OF RADIO CALLS. CONTRIBUTING TO THE CONFUSION WERE THE MULTIPLE AIRSPD REDUCTIONS ON FINAL BY SOCAL. THE LNDG WAS NORMAL. WE TURNED OFF THE RWY AT THE REVERSE HIGH SPD TXWY Y AND HELD SHORT OF RWY 24L. ON FINAL APCH; I HAD FREQ 128.5 TO THE L SELECT WINDOW AND HAD PUT TWR 133.9 IN THE R WINDOW. WHILE WAITING TO CROSS RWY 24L; I LOOKED AT THE RADIO SINCE WE HADN'T HEARD CLRNC TO CROSS THE RWY AND SAW THAT WE WERE ON 128.5 AND 121.65 (GND) WAS IN THE R WINDOW. I CHANGED THE R RADIO FROM 133.9 TO 121.65 AFTER WE CLRED THE RWY (RWY 24R). THE PROB IS THAT I DON'T REMEMBER IF WE WERE ON TWR; WITH CLRNC; OR ON SOCAL APCH THROUGHOUT THE LNDG. I REMEMBER BEING 'CLRED;' BUT DON'T REMEMBER IF IT WAS FOR THE VISUAL APCH OR FOR LNDG. AT THIS TIME I CHANGED THE RADIO TO 133.9 AND TOLD TWR WE WERE HOLDING SHORT OF RWY 24L AT TXWY Y. AFTER AN ACFT TOOK OFF ON RWY 24L WE WERE CLRED TO CROSS AND TO CONTACT GND ON 121.65; WHICH WE DID. GND CTL CLRED US TO GATE VIA TXWY E; TXWY D10; TXWY D. WE HAD NO PROBS AND NO ONE SAID ANYTHING TO US ABOUT CONTACTING THEM.