N.M. Stat. § 73-6-22
[Determining and declaring result of election.]
On the second Monday next succeeding the first election provided for by this act [73-
6-17 to 73-6-25, 73-6-33 NMSA 1978], the board of county commissioners shall meet
and proceed to canvass the votes cast at such election and declare the result as by this
act provided.