What is the least common multiple of 4 and 6?

To determine the least common multiple (LCM) of 4 and 6, we first identify the multiples of each number.

The multiples of 4 are:

4, 8, 12, 16, 20, ...

The multiples of 6 are:

6, 12, 18, 24, ...

Next, we look for the smallest multiple that appears in both lists. The first common multiple is 12. Therefore, the least common multiple of 4 and 6 is 12.

This concept of finding the least common multiple is essential in various mathematical applications, especially when working with fractions and finding common denominators. In this case, the answer is indeed 12, as it is the smallest positive integer that both 4 and 6 divide without leaving a remainder.