🔢 LCD Calculator - Least Common Denominator
Calculate LCD for multiple fractions
Denominators
Enter denominators of fractions (minimum 2, must be positive integers)
How to Use This Calculator
Enter Denominators
Input the denominators of your fractions (minimum 2). Add more denominators as needed. All must be positive integers.
Calculate
Press "Calculate LCD" to find the least common denominator (LCD) of all denominators.
View Result
See the LCD displayed, along with the multipliers needed to convert each denominator to the LCD.
Formula
LCD = LCM(denominators)
LCD is the least common multiple (LCM) of all denominators
Example: Denominators: 3, 4, 6
LCD = LCM(3, 4, 6)
Multiples of 3: 3, 6, 9, 12, 15, ...
Multiples of 4: 4, 8, 12, 16, ...
Multiples of 6: 6, 12, 18, ...
Common multiples: 12, 24, 36, ...
Least common multiple: 12
So LCD = 12
3 × 4 = 12, 4 × 3 = 12, 6 × 2 = 12
About LCD Calculator - Least Common Denominator
The LCD (Least Common Denominator) Calculator finds the least common denominator of multiple fractions. The LCD is the least common multiple (LCM) of all denominators, used to add, subtract, or compare fractions.
When to Use This Calculator
- Fractions: Add or subtract fractions with different denominators
- Mathematics: Compare fractions and find common denominators
- Education: Learn about LCD and LCM
- Algebra: Solve equations involving fractions
Understanding LCD
The LCD (Least Common Denominator) is the smallest number that is a multiple of all denominators. It's the same as the LCM (Least Common Multiple) of the denominators. The LCD is used to convert fractions to equivalent fractions with the same denominator for addition, subtraction, or comparison.
Frequently Asked Questions
What is LCD?
LCD (Least Common Denominator) is the smallest number that is a multiple of all denominators. It's the same as the LCM (Least Common Multiple) of the denominators. The LCD is used to convert fractions to equivalent fractions with the same denominator.
How do I find the LCD?
The LCD is the LCM of all denominators. Find the LCM by listing multiples, using prime factorization, or using the formula: LCM(a, b) = |a × b| / GCD(a, b).
Why do I need LCD?
LCD is needed to add, subtract, or compare fractions with different denominators. Convert fractions to equivalent fractions with LCD as the denominator, then add/subtract numerators.
Is LCD the same as LCM?
Yes! LCD is the LCM of denominators. The term "LCD" emphasizes its use as a common denominator for fractions, while "LCM" is the general term for least common multiple.
Can I use LCD for more than 2 fractions?
Yes! LCD works for any number of fractions. The LCD is the LCM of all denominators. For example, LCD of 2, 3, 4, 6 is LCM(2, 3, 4, 6) = 12.