Based on high resolution optical spectra obtained with ESPaDOnS at CFHT , we determine fundamental parameters ( T _ { eff } , R , L _ { bol } , \log \leavevmode \nobreak g and metallicity ) for 59 candidate members of nearby young kinematic groups . The candidates were identified through the BANYAN Bayesian inference method of , which takes into account the position , proper motion , magnitude , color , radial velocity and parallax ( when available ) to establish a membership probability . The derived parameters are compared to Dartmouth Magnetic evolutionary models and to field stars with the goal to constrain the age of our candidates . We find that , in general , low-mass stars in our sample are more luminous and have inflated radii compared to older stars , a trend expected for pre-main sequence stars . The Dartmouth Magnetic evolutionary models show a good fit to observations of field K and M stars assuming a magnetic field strength of a few kG , as typically observed for cool stars . Using the low-mass members of \beta Pictoris moving group , we have re-examined the age inconsistency problem between Lithium Depletion age and isochronal age ( Hertzspring-Russell diagram ) . We find that the inclusion of the magnetic field in evolutionary models increase the isochronal age estimates for the K5V-M5V stars . Using these models and field strengths , we derive an average isochronal age between 15 and 28 Myr and we confirm a clear Lithium Depletion Boundary from which an age of 26 \pm 3 Myr is derived , consistent with previous age estimates based on this method .