# JEE: complex roots of unity...

Algebra Level 4

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

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