  We observed 20 nearby Luminous Compact Blue Galaxies (LCBGs) in HI and
CO(J=2-1) with the GBT and JCMT. These ~L^star galaxies are blue, high surface
brightness, starbursting, high metallicity galaxies with an underlying older
stellar population. They are common at z~1, but rare in the local Universe. It
has been proposed that intermediate redshift LCBGs may be the progenitors of
local dwarf ellipticals or low luminosity spirals, or that they may be more
massive disks forming from the center outward to become L^star galaxies. To
discriminate among various possible evolutionary scenarios, we have measured
the dynamical masses and gas depletion time scales of this sample of nearby
LCBGs.
  We find that local LCBGs span a wide range of dynamical masses, from 4 x 10^9
to 1 x 10^11 M_solar (measured within R_25). Molecular gas in local LCBGs is
depleted quite quickly, in 30 to 200 million years. The molecular plus atomic
gas is depleted in 30 million to 10 billion years; however, ~80% of the local
LCBGs deplete their gas in less than 5 billion years. As LCBGs are
heterogeneous in both dynamical mass and gas depletion time scales, they are
not likely to evolve into one homogeneous galaxy class.
