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SMO 2008 Senior Round 1 Question 28

SMO · SMO 2008 Senior Round 1

Question 28

A teacher wrote three positive integers on the whiteboard: $1125,2925,N$, and asked her class to compute their least common multiple. One student misread $1125$ as $1725$ and instead computed the least common multiple of $1725,2925,N$. His answer was the same as the correct answer. Find the least possible $N$.