The greatest common divisor of the two numbers is 12, and the least common multiple is 72______ Or______ ．

The greatest common divisor of the two numbers is 12, and the least common multiple is 72______ Or______ ．

Because 72 △ 12 = 6, 6 = 1 × 6 = 2 × 3, there are two cases of these two numbers: 12 × 1 = 12, 12 × 6 = 72 or 12 × 2 = 24, 12 × 3 = 36, that is, these two numbers are 12 and 72 or 24 and 36 respectively

The greatest common factor of two numbers is 12, the least common multiple is 72, one of which is 24, what is the other number?

36

The greatest common factor of two natural numbers is 12, and the least common multiple is 72. Given that one number is 24, find another number

The other number is 36

First decompose the following two numbers into prime factors, and then find their least common multiple
12=
15=
(1) The same quality factors of 12 and 15 are as follows:
(2) The different quality factors of 12 and 15 are as follows
(3) The least common multiple of 12 and 15 is as follows:

12 = 2 * 2 * 315 = 3 * 512 and 15 the same prime factors are 312 and 15, different prime factors are 2512 and 15, and the least common multiple of them is 60