Trying to get financing through 2 banks at sametime, problem?

[Fernando Roman Romero]

I have a single family home under contract and the bank I was originally pre-approved with didn't go through with the approval. So I contacted a local credit union and a local bank to try and get pre approved for an fha loan. I am wondering if it will be a problem applying with 2 lenders if I get approved by one or get approved by both at the sametime?