a. B is a natural number, a + B = 12, then the least common multiple of a and B is (), and the greatest common divisor of a and B is ()

a. B is a natural number, a + B = 12, then the least common multiple of a and B is (), and the greatest common divisor of a and B is ()

The least common multiple is 11 and the greatest common divisor is 6
I pushed the process,
There are only a few cases of a and B, 1,11; 2,10; 3,9; 4,8; 5,7; 6,6;
The least common multiple is 1 * 11 = 11
The least common divisor can only be 6
I don't know. Can you see it