Given two positive integers a and b with GCD(a,b) = 6 and LCM(a,b) = 180, and a = 36, find b.
Note
Use a·b = GCD·LCM, so 36·b = 6·180 = 1080, hence b = 1080/36 = 30.
Given two positive integers a and b with GCD(a,b) = 6 and LCM(a,b) = 180, and a = 36, find b.
Use a·b = GCD·LCM, so 36·b = 6·180 = 1080, hence b = 1080/36 = 30.