# Least common denominator calculator

### LCD(13, 24, 12) = LCM(3, 4, 2) = 2^{2}×3 = 12

### 13 = 412

### 24 = 612

### 12 = 612

To continue to fraction calculator, for example, calculate the sum of fractions 1/3 + 2/4 + 1/2.

### What is LCD?

The lowest common denominator or least common denominator (abbreviated LCD) is the least common multiple of the denominators of a set of fractions. It is the smallest positive integer that is a multiple of each denominator in the set. Fractions write with fraction bar / like 3/4 .**Example:** for LCD calculation of three fractions 1/2 2/3 5/4 enter 1/2 2/3 5/4.

### How to calculate LCD

The same fraction can be expressed in many different forms. If the ratio between numerator and denominator is the same, the fractions represent the same rational number.The least common denominator of a set of fractions is the least number that is a multiple of all the denominators: their "least common multiple".

Method of calculating the LCD is the same as calculation least common multiple of fractions denominators.

The simple method for computing common denominator (not least at all) is multiply all denominators.