N.M. Stat. § 53-19-7
Formation.
One or more persons may form a limited liability company by filing articles of
organization with the commission [secretary of state]. The person or persons forming
the limited liability company need not be members of the limited liability company. One
or more persons may own and operate the limited liability company. A single member
limited liability company formed prior to July 1, 1999 is a lawful entity.