JEE: complex roots of unity...

Algebra Level 4

The sets A={z:z18=1}A=\{ z: z^{18}=1 \} and B={w:w48=1}B=\{ w: w^{48}=1\} are both sets of complex roots of unity. The set C={zw:zA,wB}C=\{ zw: z \in A , w \in B\} is also a set of complex roots of unity. How many distinct elements are in CC_{}^{}?

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