The least common denominator (LCD) is the smallest number that can be used as a common denominator for two or more fractions. It is essentially the least common multiple (LCM) of the denominators of those fractions.

What is the Least Common Denominator?

• When you want to add, subtract, or compare fractions, you need to have the same denominator.
• The LCD is the smallest number that all the denominators can divide into evenly.
• Using the LCD makes calculations easier and keeps the fractions in their simplest form.

How to Find the Least Common Denominator

1. List the denominators of the fractions.
2. Find the least common multiple (LCM) of these denominators.
3. The LCM is the least common denominator.

Example

Find the LCD of 1/4 and 1/6:

• Denominators: 4 and 6
• Multiples of 4: 4, 8, 12, 16, 20, ...
• Multiples of 6: 6, 12, 18, 24, ...
• The smallest common multiple is 12.
• So, the least common denominator is 12.

If you want, I can help you find the LCD for specific fractions!