You asked this question while using Mac OS X 10.7. As you'll see in the Mac system requirements link that retiree gave you above, you need OS X 10.9 or higher for 2016 desktop TurboTax. It will not install on v. 10.7.
You could use Online TurboTax, however, since it's accessed via a browser, and your account and return-in-progress would be accessible by either of your computers.
Be aware that Online TurboTax is not as fully-featured as desktop TurboTax. Unlike the CD/download version, it does not have "Forms Mode", for viewing and editing on the forms. Only 1 Federal return can be prepared per online account. Some of the Online versions are limited in which forms they can handle, while all of the desktop versions can handle all the usual forms. In the Online version, there is an extra fee to prepare a state return. A desktop program may or may not have a state program included, depending on the edition.
