New Mexico Statutes Chapter 53. Corporations § 53-11-38. Vacancies

Any vacancy occurring in the board of directors may be filled by the affirmative vote of a majority of the remaining directors though less than a quorum of the board of directors. A director elected to fill a vacancy shall be elected for the unexpired term of his predecessor in office. Any directorship to be filled by reason of an increase in the number of directors may be filled by the board of directors for a term of office continuing only until the next election of directors by the shareholders.