After replacing the  hard drive of my five year old laptop, I started getting a message that my Windows 7 Ultimate isn't Genuine Windows.   I did some research and read that  Microsoft allows large companies like Dell to use generic product keys so it's easy for them to mass produce PCs.  I learned further that the generic product keys don't work when used to reinstall Windows.

My repair person who replaced my drive must have used the generic Windows product key, since my laptop doesn't have a sticker with another product  key and I don't have any documentation with another non-generic key.  

I used a product key finder, Belarc, to find the key on my computer, but of course it's finding the one that is generic and is now being rejected by Microsoft.

How can I get a non-generic product key from Dell?