I live in Minnesota and the law says you need to give as much notice as you are paying rent or what is stipulated on the lease.
So if you have a lease there should be an area that refers to vacating the property.
In my case my tenant has gone pass the lease and now they are on a month to month.
They need to give me one month notice.
My tenant would be liable for rent until Nov.2nd.
they`re free and clear.
I would check on your lease or the state has laws you can access on the internet.
I think you can only be liable for that length of time if you signed something in the lease.