Question

Find the least common multiple of 24 and 40.

Short answer

The least common multiple of 24 and 40 is 8.

Step-by-step solution

Step 1. Least common multiple

The least common multiple of two numbers is thesmallest number among all common multiples of the given numbers.

Step 2. Derivation.

The multiples of 24 is shown below.

$$\begin{gathered} 24=2\times 2\times 2\times 3 \\ 24=2^3\times 3 \end{gathered}$$

Step 3. Conclusion.

The least common multiple of 24 and 40 is 8.