A B757 FLC HAD TO GREATLY INCREASE THE RATE OF ROTATION TO CLR AN ACFT XING THE RWY AT LAX.

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ON NOV/XA/99 AT LAX WAITING FOR TKOF AND HOLDING SHORT OF RWY 25R; WE RECEIVED CLRNC TO TAXI INTO POS AND HOLD. AT THIS TIME WE COMPUTED OUR FINAL ITEMS CHKLIST AND ACFT X WENT INTO POS AND WAITED FOR TKOF CLRNC. UPON RECEIVING OUR CLRNC (WHICH WAS ACFT X MAINTAIN 3000 FT RWY 25R CLRED FOR TKOF) AFTER ACKNOWLEDGING BOTH THE NEW CLRNC ALT AND TKOF CLRNC; I STARTED THE TKOF ROLL (CAPT'S LEG). EVERYTHING WAS NORMAL THROUGH 100 KTS. AS WE REACHED V1 AND VR; I NOTICED AN ACFT COMING FROM L TO R XING IN FRONT OF US. AT THIS POINT I HAD STARTED MY ROTATION AND I COULD HEAR MY FO SAYING (WITH INCREASING INTENSITY) 'ROTATE; ROTATE; FASTER; FASTER.' BY THIS TIME I HAD ALREADY HAD INCREASED THE PITCH TO 10-12 DEGS AS THE MAIN GEAR BROKE GND. AS WE CLBED THROUGH 800 FT; I LOWERED THE NOSE AND RETRACTED FLAPS ON SCHEDULE. WE ASKED LAX TWR IF THEY WERE AWARE OF THE OTHER ACFT AND THEY REPLIED IN THE AFFIRMATIVE AND SAID THEY WERE INVESTIGATING. WE ESTIMATE WE CLRED THE OTHER ACFT BY LESS THAN 1/2 WING SPAN. REMAINDER OF FLT TO IAD WAS ROUTINE. SUPPLEMENTAL INFO FROM ACN 455582: RECOMMENDATIONS INCLUDE USING THE FULL LENGTH OF RWY 25R FOR ALL TKOFS AND PROHIBIT ANY INTXN TKOFS FROM INTXN F. THIS WOULD PROVIDE AN ADDITIONAL 1000 FT OF DISTANCE FOR RWY INCURSION REACTION TIME.