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Suppose a and b are positive integers such that gcd[a,b] is divisible by exactly 7 distinct primes and lcm{a,b} is divisible by exactly 20 distinct primes. If a has fewer distinct prime factors than b, then a has at most how many distinct prime factors?

 Oct 19, 2021
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a has at most 12 divisors.

 Oct 19, 2021

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