We report the discovery of two binary M dwarf systems in the immediate sola
r neighbourhood using the Two Micron All Sky Survey (2MASS). The first is a
n M6.5 companion to the nearby G star HD 86728 (Gl 376). The known properti
es of HD 86728 indicate that the M dwarf (Gl 376B) is old, metal-rich and o
nly 14.9 parsec away. The M dwarf is highly active, with both H alpha and X
-ray emission. Thus, Gl 376B offers the opportunity to study an old, bright
, active M dwarf with known metallicity, age and luminosity. We show that i
t is probable that Gl 376B is itself an unresolved pair. The other system c
onsists of an M6.5 and an M8 dwarf with 14.5 arcsec separation. We estimate
a distance of similar to 16 parsec for this very low-mass pair. Stronger a
ctivity is observed in the M6.5 dwarf, supporting evidence that chromospher
ic activity is weakening near the hydrogen-burning limit.