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The greatest common divisor of positive integers m and n is 8. The least common multiple of m and n is 112. What is the least possible value of m+n?

 Mar 31, 2021
 #1
avatar+118470 
+2

Divisors  of  112

 

1   2    4    7   8    14    16    28    56    112

 

Let  m  =  16

        n =   56

 

m + n   =   16  +  56    =    72

 

 

cool cool cool

 Mar 31, 2021
 #2
avatar+294 
+1

Thank you so much!

calvinbun  Apr 1, 2021

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