### Home > CC1 > Chapter 1 > Lesson 1.2.4 > Problem1-88

1-88.

Copy and complete the table of multiples below. (Count by $2$’s and count by $3$’s). Homework Help ✎

 Two 2 4 6 Three 3 6
1. Write down all the numbers that appear in both rows.  Describe any pattern(s) that you notice.

$6, 12, \text{and } 18$ are in both rows.

What do you notice about these numbers? Are they multiples of a number other than $2 \text{ and } 3$?

2. What is the smallest number that appears in both rows?  This number is said to be the least common multiple of $2$ and $3$

Looking at part (a) of this problem may make this easier.

3. Find three more common multiples of $2$ and $3$.

Keep counting by $2$'s and $3$'s.

Three more common multiples of $2$ and $3$ are $24$, $30$, and $36$.

4. Can you find the largest number that is a common multiple of both $2$ and $3$? If so, what is it? If not, explain why not.

The largest common multiple would be the greatest number that is a multiple of both of the two factors. Refer to part (a) again.