Least Common Denominator Finder
This calculator helps you find the Least Common Denominator (LCD) for two or more fractions. It’s an essential tool for adding, subtracting, or comparing fractions with different denominators. Simply enter your denominators, and the calculator will return the smallest common denominator shared among them.
Least Common Denominator Calculator
LCD Calculation Formula
$$\text{LCD}(a, b) = \frac{|a \cdot b|}{\gcd(a, b)}$$
Explanation:
The Least Common Denominator (LCD) is the smallest number that is a multiple of the denominators. It is found by dividing the product of the numbers by their greatest common divisor (GCD).
Least Common Denominator – Calculation Example
Find the LCD of 6 and 8
- Multiply the denominators: 6 × 8 = 48
- Find GCD of 6 and 8 = 2
- Divide: 48 ÷ 2 = 24
- Result: LCD = 24
The Least Common Denominator is key when working with fractions, especially in addition and subtraction. It ensures all fractions are expressed with the same base, making calculations straightforward. This tool is helpful in both academic contexts and real-life applications such as recipe adjustments, proportions, and statistics.