Cayley 2023 Part B - Question 13, CEMC UWaterloo

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This problem is tagged with cayley, cayley23, highschool.

(Cayley 2023, Part B, Question 13, CEMC - UWaterloo)

The integer $2023$ is equal to $7×17^2$. Which of the following is the smallest positive perfect square that is a multiple of $2023$?
$(A)$ $2023^2$
$(B)$ $4×2023$
$(C)$ $7×2023$
$(D)$ $17×2023$
$(E)$ $7×17×2023$

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