# What is the least common multiple of 4 and 16?

#### Understand the Problem

The question is asking to find the least common multiple (LCM) of the numbers 4 and 16. The LCM is the smallest number that is a multiple of both given numbers.

The least common multiple is 16.

The least common multiple of 4 and 16 is 16.

#### Steps to Solve

1. Identify the multiples of each number

First, list out the multiples of both 4 and 16.

• Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, ...
• Multiples of 16: 16, 32, 48, 64, ...
2. Find the least common multiple

Next, identify the smallest common multiple from the lists of multiples.

• From the multiples listed, the smallest number that appears in both lists is 16.
3. Conclusion

Therefore, the least common multiple of 4 and 16 is:

$$\text{LCM}(4, 16) = 16$$

The least common multiple of 4 and 16 is 16.

The least common multiple is useful in various areas of mathematics, especially in solving problems involving fractions and finding common denominators.

#### Tips

• Confusing LCM with greatest common divisor (GCD). Remember that LCM is about finding a common multiple, while GCD is about finding a common divisor.
• Not listing enough multiples. Always ensure to list enough numbers to find the common one.
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