Question 27
Consider the collection $$M$$ of all ordered pairs $$(a,b)$$ of positive integers $$a$$ and $$b$$ which satisfy
$$ ab=406+11\cdot\operatorname{lcm}(a,b)+7\cdot\gcd(a,b).$$
What is the smallest possible value of $$a+b$$?
Correct Answer: 98
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