How to use Lightroom with macOS Ventura 13.7.8

If you have an Adobe CC subscription, Lightroom v 6.5 & Lightroom Classic 13.5.1 are available and run on Ventura. Check in your Adobe Creative Cloud app to verify their availability for you.

The latest versions (LR 9.x) and (LRC 15.x) require at least macOS Sonoma.

You cannot use the current version of Lightroom on Ventura. It requires Sonoma or later.

https://helpx.adobe.com/lightroom-cc/system-requirements.html

The current version of Lightroom Classic will run on Ventura, but I would not count on that lasting for long. Adobe tends to support only "the most recent three", so I expect they will drop Ventura support the next time that there's any sort of update to Lightroom Classic.

https://helpx.adobe.com/lightroom-classic/system-requirements/2025.html

Adobe has articles describing system requirements for previous releases, but I do not know if those releases would still be available, even on an unsupported basis.

ps. Once they are installed you can continue using them on your Ventura system as long as you maintain your Adobe subscription.

But all bets are off if you later upgrade the Mac to Sonoma or later. There is no guarantee that those LR versions would run without problems, or at all, on later versions of macOS.