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2022 AMC 12A Problems/Problem 4

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Problem

The least common multiple of a positive integer $n$ and $18$ is $180$ , and the greatest common divisor of $n$ and $45$ is $15$ . What is the sum of the digits of $n$ ?

$\textbf{(A)} 3 \textbf{ (B)} 6 \textbf{ (C)} 8 \textbf{ (D)} 9 \textbf{ (E)} 12$

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