They could be: 17 and 149
10 and 35
6 and 126 and 1812 and 18
As written, no numbers satisfy those conditions. 6 and 36 have a GCF of 6 and an LCM of 36.
The LCM of two numbers is one of the numbers when one of the numbers is a multiple of the other. The LCM of two numbers is the product of the numbers when they are relatively prime. In all other cases (like consecutive even numbers that aren't 2 and 4) the LCM is as you describe.
4 and 9 7 and 8
20 and 100.GCF is 20, and LCM is 100.
3 and 4
10 and 25
7 and 9
How about: 4 and 5
30 and 60
the two smallest numbers are 49 and 14
30 and 3
12 and 66
3 and 17
6,364 and 9
24 and 36