Using a remote theme on multiple WordPress sites

Hi all,

I have not been able to find any information regarding my question.

I have several WordPress blogs, which I want to use the same theme on.
… and I do, but everytime I make changes in the template I have to update the theme on all my sites, in order to make them appear similiar.

Is there a way to make a WordPress site, load the theme from an external source?

Thank you!