That is surprising: the cells of large-bodied or older animals should have divided many more times than those of smaller or younger ones, so should possess more

That is surprising: the cells of large-bodied or older animals should have divided many more times than those of smaller or younger ones, so should possess more random mutations predisposing them to cancer. Can a biologist reading this confirm that? I thought smaller organisms generally have much faster metabolisms to offset their shorter lifespans. Or is it the same at the cellular level?