Improving credit scores.?

My future husband and I applied for a home loan and did not get it due to a couple of reasons. He does not have enough credit and has some collections on his credit report. My score is at 588 and the bank would like it at 680. How long will this take to increase and when should we re-apply for a home mortage?
I would also like to add that the only debt that exisits between us is a car loan, my student loan and a loan on a bed that I purchased. The loan officer stated that the problem was more with my boyfriend not having a credit score than with me.

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