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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