By combining data from the Nobeyama Radioheliograph and the LASCO coronagraph aboard the SoHO spacecraft, we report two helical coronal disturbances accompanying white-light coronal mass ejections (CMEs). These are activated prominences at the base, rotating around each vertical axis while moving on the solar surface with projected speeds of $\geq$ 50 km s$^{-1}$. The activity continues in a CME core and in a neighboring streamer growing over 6 R$_{\odot}$. Neither flare activity nor radio bursts were observed during the two events. We suggest that the apparent presence/absence of a CME core depends on the density of the eruptive material associated with the CME.