Almost about 1 year ago together with my purchase of a brand new DSLR I got two ID's with which I was able to download Lightroom and Elements. I did that on my iMac which is now my old iMac since i bought a new one 1 month ago. And also on this new system I like to install these two applications. How to act without having the 2 product ID's?
You can't install them without the serial numbers. Those numbers are the lifeblood of software. And if you haven't taken the precaution to save them somewhere so that you can turn to them when needed you have a problem. If you happened to take the time to register your to programs with Adobe, you could log on to your account and get the serial numbers.