We have detected Zeeman splitting of the Fe I line (g(eff) = 2.5) at 8
468.40 Angstrom in the very active M4.5 Ve stars Gliese 729 and Gliese
873 (EV Lac). High-resolution (R = 120,000), low-noise (similar to 0.
5%) spectra show clear Zeeman-shifted sigma components from which we i
nfer field strengths of 2-4 kG, independent of uncertainties in model
atmospheres. Similar observations of a sequence (M0 V-M5 V) of low-act
ivity M dwarfs demonstrate that the wing components in the 8468.40 Ang
strom line are not due to the ubiquitous TiO lines in the vicinity. Th
is strongly suggests that discrepancies in the shape of the magnetical
ly sensitive iron line are due to magnetic fields rather than differen
ces in photospheric temperature. By fitting the ratio of active to ina
ctive line profiles with simple one-component models, we estimate that
50 +/- 13% of the photosphere of EV Lac. is covered by 3.8 +/- 0.5 kG
magnetic fields, while 50 +/- 13% of Gliese 729 is covered by 2.6 +/-
0.3 kG fields. This confirms earlier reports of large magnetic fields
on M dwarf flare stars. We see evidence for a distribution of magneti
c field strength, spatially across the surface and/or with depth. The
twofold increase in field strength relative to G and K dwarfs is predi
cted by flux tube equilibrium arguments, but the 1 kG difference in th
e measured field strengths for these two stars suggests that field str
engths may also grow with activity as the photospheric filling factor
approaches unity.