The most common stars in the Galaxy are the main-sequence M dwarfs, yet cur
rent techniques are not optimized for detecting companions around the lowes
t mass M dwarfs, those with spectral designations ranging from M6 to M10. D
escribed in this paper is a search for companions around such stars using a
newly designed differential spectrophotometric technique. This novel metho
d combines the strengths of the photometric and spectroscopic techniques, w
hile it minimizes their inherent limitations. The scientific goal of this p
roject is to search for short-period systems containing brown dwarfs and gi
ant planets. The detection of or placing limits on such systems will help d
iscriminate among competing theories of planetary formation.