Currently, the cheapest month to rent a car at Kemi/Tornio Airport is May. The most expensive time to rent a car is December. The cheapest prices for each month are shown above, but prices will vary based on availability, how far out you book your rental car, and of course, car type.
The length of time you can book a rental for is subject to the inventory of the supplier. When renting a vehicle from Kemi/Tornio Airport it should be possible to rent a car for a whole month if needed.