new job, weird cycles.

Jenna
I started a new job (dental office with 8 other women) on May 27. I should have had my period on June 20th, but didn't get it until June 27th. I expected my cycle to be different at first. My question is this: How long does it take my body to "sync up" with everyone else? 
This is our first month of "not trying". I haven't taken any ovulation tests or bbt. Nothing. We just have sex when we want, where we want. I have no idea when I ovulated. 
I normally have a 29 day cycle, but my last cycle was  37 days.