+4622 If m and n are positive integers such that \(\gcd(m,n) = 12\) , then what is the smallest possible value of \(\gcd(10m,15n) = ?\)
+234 gcd(m,n) = 12 the two smallest numbers that are divisble by 12 that are different are 12 and 24
we will switch these areound for a smaller number m=24 n=12
10 times 24 = 240 and 15 times 12 is 180
240 pf; 24 x 3 x 5 180 pf; 22 x 32 x 5 similar pf's = 2x2x3x5 which is equal to 60
60 is your answer!
if I helped please leave a rating
pf= prime factor
