ChallengeMediumHard Number Theory ShareHard Number Theory · Medium problemHow many ordered pairs (a,b)(a,b)(a,b) of positive integers satisfy gcd(a,b)=6\gcd(a,b)=6gcd(a,b)=6 and lcm(a,b)=23⋅32⋅52⋅7⋅11\operatorname{lcm}(a,b)=2^3\cdot 3^2\cdot 5^2\cdot 7\cdot 11lcm(a,b)=23⋅32⋅52⋅7⋅11?Check Show answer Walk through it step by step Practice more like this Review this concept