We investigate collisional properties of lithium and cesium which are simul
taneously confined in a combined magneto-optical trap. Trap-loss collisions
between the two species are comprehensively studied. Different inelastic c
ollision channels are identified, and inter-species rate coefficients as we
ll as cross-sections are determined. It is found that loss rates are indepe
ndent of the optical excitation of Li, as a consequence of the repulsive Li
*-Cs interaction. Li and Cs loss by inelastic inter-species collisions can
completely be attributed to processes involving optically excited cesium (f
ine-structure changing collisions and radiative escape). By lowering the tr
ap depth for Li; an additional loss channel of Li is observed which results
from ground-state Li-Cs collisions changing the hyperfine state of cesium.