2016 AMC 8 Problems/Problem 20
The least common multiple of and is , and the least common multiple of and is . What is the least possible value of the least common multiple of and ?
We wish to find possible values of ,, and . By finding the greatest common factor of and , algebraically, it's some multiple of and from looking at the numbers, we are sure that it is 3, thus is 3. Moving on to and , in order to minimize them, we wish to find the least such that the least common multiple of and is , . Similarly with and , we obtain . The least common multiple of and is
|2016 AMC 8 (Problems • Answer Key • Resources)|
|All AJHSME/AMC 8 Problems and Solutions|