Example 1:

Find the least common multiples of 2 and 3

The multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, and 24

The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, and 36

Thus the common multiples of 2 and three are 6, 12, 18 and 24

The smallest of these multiple s(i.e. the least) is 6

We say that the least common multiple of 2 and 3 is 6.

That is L.C.M of 2 and 3 is 6

EXERCISE

Find the by listing the multiples of:

- 2 and 5
- 3 and 4
- 3 and 5
- 4, 2 and 6
- 2 and 7
- 2 and 12
- 3 and 7
- 3 and 12
- 2, 3 and 5
- 2 and 10
- 2, 4 and 6
- 3 and 15
- 4 and 7
- 4 and 7

**See also**