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How many ordered pairs of positive integers  (m,n) satisfy gcd(m,n) = 2 and lcm[m,n] = 360?

 Oct 28, 2020
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LCM of 90 and 8 = 360
GCD of 90 and 8 = 2
LCM of 72 and 10 = 360
GCD of 72 and 10 = 2
LCM of 40 and 18 = 360
GCD of 40 and 18 = 2
LCM of 18 and 40 = 360
GCD of 18 and 40 = 2
LCM of 10 and 72 = 360
GCD of 10 and 72 = 2
LCM of 8 and 90 = 360
GCD of 8 and 90 = 2

 Oct 28, 2020

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