Your doctor will go by whatever date they set last. Remember, it's an ESTIMATED due date, and unless you or the baby is unhealthy, there really is no such thing as 'overdue'. But since doctors like to rush nature, they will likely say you are 'overdue' June 21. My advice, stay pregnant until that baby wants to come out (or if you or it gets sick of course)
I told my doctor PLENTY of times I gave them the wrong date of my LMP (it was the 9th, I told them 17th) and they still went with what I told them first. If they would have listened to me, I would have had my baby a week sooner. They induced me, but wanted to wait until I was 38wks. So I was actually 39wks when I delivered. They even confirmed it by saying she looked like a 39wker.