The sets A=\left\{z: z^{18}=1\right\} and B=\left\{w: w^{48}=1\right\} are both sets of complex roots of unity. The set C=\{z w: z \in A and w \in B\} is also a set of complex roots of unity. How many distinct elements are in C ?
The sets A=\left\{z: z^{18}=1\right\} and B=\left\{w: w^{48}=1\right\} are both sets of complex roots of unity. The set C=\{z w: z \in A and w \in B\} is also a set of complex roots of unity. How many distinct elements are in C ?