The cheapest printer

The cheapest printer will be the one that's included free with the purchase of a computer.
Next cheapest will be the one that's on sale and has a rebate.
You will have to shop around because there are some really good deals out there and it seems like a printer is one item that does not cost a lot unless your looking for one with a lot of features and capabilities.
This one is very cheap and it's just $35 however it just prints so if that's what your looking for you can give this one a look.

http://www.newegg.com/Product/Product.aspx?Item=N82E16828115821