I'm currently using Lightroom which is resident on my "old" computer (rather than up there in the cloud). I'm soon to purchase both a new desktop computer and a new laptop computer. Can I download Lightroom to both of these new computers? That is, will the product's license allow me the two new downloads. I'm OK with deleting Lightroom from my "old" computer if necessary.
I see you have a license for Lightroom under the adobe account with same email as with forums .
You can install and activate (purchased) perpetual software two computers , as long as you only use it on one at a time.
For Deactivation refer:- https://helpx.adobe.com/x-productkb/policy-pricing/activate-deactivate-products.html
Hope this helps !!!