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The greatest common factor is 12, and the least common multiple is 252. Given that the number a is 36, find the number B
seventy-seven
The greatest common factor of a and B is 6 and the least common multiple is 36. It is known that a is 12 and B is ()
A. 12B. 16C. 18
36 △ 12 = 3, 3 × 6 = 18, a: B is 18
The quotient of the least common multiple of a and B divided by their greatest common factor is 12. If the difference between a and B is 18, then a is 12______ The number B is______ ．
The least common multiple of a and B numbers is the greatest common factor of 12 times, where 12 = 3 × 4, or 2 × 6, but there are divisors between 2 and 6. Decompose 12 into the product of 3 and 4, the greatest common factor × (4-3) = 18, the greatest common factor = 18, and 3 × 18 = 54, 4 × 18 = 72. The two numbers of a and B are 54 and 72 respectively
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