  Thermal leptogenesis requires the reheating temperature $T_R \gsim 3\times
10^{9}$ GeV, which contradicts a recently obtained constraint on the reheating
temperature, $T_R \lsim 10^6$ GeV, for the gravitino mass of 100 GeV-10 TeV.
This stringent constraint comes from the fact that the hadronic decays of
gravitinos destroy very efficiently light elements produced by the Big-Bang
nucleosynthesis. However, it is not applicable if the gravitino is the lightest
supersymmetric particle (LSP). We show that this solution to the gravitino
problem works for the case where the next LSP is a scalar charged lepton or a
scalar neutrino. We point out that there is an upper bound on the gluino mass
as $m_{\rm gluino} \lsim 1.8$ TeV so that the energy density of gravitino does
not exceed the observed dark matter density $\Omega_{\rm DM}h^2\simeq 0.11$.
