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IMAS 2011 — Upper Primary Grades 5–6 — Round 2 Question 9

IMAS · IMAS 2011 — Upper Primary Grades 5–6 — Round 2

Question 9

The sum of two positive integers $a$ and $b$ is 432, and the sum of their greatest common divisor and their least common multiple is 7776.

What is the product $ab?$