If the number a is 36, the greatest common divisor of a and B is 4, and the least common multiple is 288, then the number B is______ .

If the number a is 36, the greatest common divisor of a and B is 4, and the least common multiple is 288, then the number B is______ .


Because: the product of two numbers is equal to the least common multiple of two numbers multiplied by the greatest common divisor, so B number is: 288 × 4 △ 36, = 1152 △ 36, = 32; answer: B number is 32, so the answer is: 32



The greatest common divisor of a and B is 5, and the least common multiple is 360. What are the two numbers?
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360=2*2*2*3*3*5
So the numbers a and B are 2 * 2 * 2 * 5 and 3 * 3 * 5 respectively
That's 40 and 45