First 5 multiples of 6: 6, 12, 18, 24, 30 First 5 multiples of 9: 9, 18, 27, 36, 45 What is the least common multiple (LCM) of 6 and 9?

Respuesta :

Solution:

We are given the first five multiples of 6 and 9.

  • First 5 multiples of 6: 6, 12, 18, 24, 30
  • First 5 multiples of 9: 9, 18, 27, 36, 45

If we look carefully, we can see that the smallest number that is common in both multiples is 18.

  • First 5 multiples of six: 6, 12, 18, 24, 30
  • First 5 multiples of nine: 9, 18, 27, 36, 45

Thus, the LCM of 6 and 9 is 18.

LCM is lowest common multiple

Let's check

2|6,9

3|3,9

3|1,3

LCM=2(3)(3)=18