﻿ Definition and examples least common denominator | define least common denominator - algebra - Free Math Dictionary Online

# Least Common Denominator (LCD)

## Definition of Least Common Denominator (LCD)

Least Common Denominator is the least common multiple of two or more of fractions.

### More About Least Common Denominator (LCD)

It is also called as Lowest Common Denominator.
##### Steps to find the Least Common Denominator:
1. First find the multiples of the denominators.
2. Identify the least common multiple.

### Example of Least Common Denominator (LCD)

To find the least common denominator of the fractions 4/7and 1/3, first we need to find the multiples of the denominator 7 i.e. 7, 14, 21, 28, 35 . . . and the multiples of the denominator 3 i.e. 3, 6, 9, 12, 15, 18, 21, 24 . . .
The least common multiple of the denominators 7 and 3 is 21.
So, the least common denominator of the fractionsand4/7 and1/3 is 21.

A. 12
B. 16
C. 4
D. 21

### Solution:

Step 1: The denominators of the given fractions are 4 and 12.
Step 2: Multiples of 4 are 4, 8, 12, 16, 20 . . .
Step 3: Multiples of 12 are 12, 24, 36, 48 . . .
Step 4: The lowest multiple the numbers have in common is 12.
Step 5: So, the least common denominator of the given fractions is 12.

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