It really depends. Some schools take longer to request reports from LSDAS and admissions committees meet at different times. Some schools average two weeks, others six to eight.
I applied to eight different schools on January 5. My files, for the most part, were complete on January 14. I heard back from one school two days later, another two schools about two weeks later and I'm still waiting on the last five...
Sorry, I know that was not too helpful...I guess the short answer is that there really is no clear answer.
Starting to hear back from law schools...