It happens automatically by virtue of the fact that your LLC owns and controls the website. This is probably documented by the domain registrar which lists the owner of each domain, and could also be proven by asking the web hosting company who controls the site. The important thing is to make sure the domain is registered in your name, that the contracts you sign with the web hosting company and/or internet provider are in the company's name, not yours, and that any servers were purchased by the company, not by you personally.
If these things are not currently owned by the company, you may want to sign a contract of sale so that you have proof that the company has purchased them.
Also, as a general rule, it never hurts to display the name of your company somewhere, like on the bottom of the home page.
(I am not a lawyer in any jurisdiction and this does not constitute legal advice.)