A = 2 × 3 × m, B = 2 × 5 × n (M and N are prime numbers). If the greatest common factor of a and B is 6 and the least common multiple is 210, what are m and N respectively

A = 2 × 3 × m, B = 2 × 5 × n (M and N are prime numbers). If the greatest common factor of a and B is 6 and the least common multiple is 210, what are m and N respectively

m=7,
n=3.
1,a=6×m,
b=2×n×5,
The greatest common divisor is 6, which has nothing to do with 5, so we only look at 6m and 2n, because the greatest common divisor is 6, so n = 3
2, n = 3, that is, B = 30. The least common multiple of a and B is 210. Therefore, 30 can be decomposed into 6 × 5210 and 6 × 5 × 7. Since m and N are prime numbers, M is 7
If M = 7, n = 3, a = 42, B = 30, the greatest common divisor of a and B is exactly 6, and the least common multiple is exactly 210
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