PC issues - installing Lightroom on other computer

Dear Adobe Communities,

I purchased Adobe Photoshop Lightroom 5 in July 2014 and recently had a major incident with my PC (burnt motherboard and crashed hard disk). As a result I switched my computer to Mac and I was wondering if I can still use the Lightroom 5 I purchased and install it on my Mac (i.e. use the serial number quoted in the email received from Adobe with the product order).

Thanks in advance for any help!

Tom