We have a written month to month lease with our landlord. My family and I have decided to move out of state. Our lease states that a 30 day notice must be given in writing, and that's all. We gave our 30 day notice today 11/7. The landlord is now telling us that since it will overlap into December before our notice is up that we must pay the full amount of December's rent. Is this correct? Or should we only be responsible for a pro-rated amount based on when 30 days from today is? We are in St. Louis County, MO - just in case that makes a difference.

