Lightroom Classic Not Available for Download onto Second Computer

I purchased the Adobe Creative Cloud and downloaded it to my Macbook Pro. I installed Lightroom Classic because I want to store my photos on external HD's. All went well. Next I downloaded Adobe Creative Cloud to my Macbook Air so that I could install Lightroom Classic on it. However, only Lightroom CC shows up as available for download. How can I get Lightroom Classic on my Macbook Air?  Thanks.