A = 2 × 3 × m, B = 3 × 5 × m (M is a natural number and m ≠ 0). If the greatest common divisor of a and B is 21, the least common multiple of a and B is 1______ .

A = 2 × 3 × m, B = 3 × 5 × m (M is a natural number and m ≠ 0). If the greatest common divisor of a and B is 21, the least common multiple of a and B is 1______ .

A = 2 × 3 × m, B = 3 × 5 × m, the greatest common divisor of a and B is 21 = 3 × 7 = 3 × m, so m = 7; so the least common multiple of a and B is 3 × 7 × 2 × 5 = 210; so the answer is: 210