This least common denominator (LCD) calculator finds the smallest common denominator for 2 or more fractions and rewrites each fraction with that denominator. It is based on the standard rule that the least common denominator is the least common multiple of the denominators. For a trusted reference, see the University of Minnesota overview of least common denominators and fraction operations: official reference.
What this calculator does
Enter fractions separated by commas, and the tool will identify the denominators, find the LCD, and show equivalent fractions with the same denominator. It also supports whole numbers, which are treated as fractions over 1.
- Finds the least common denominator for 2 or more fractions
- Shows the denominators used in the calculation
- Rewrites each fraction as an equivalent fraction with the LCD
- Optionally simplifies fractions first before finding the LCD
- Optionally shows prime factorization steps for the denominators
How to use it
- Enter at least 2 fractions or whole numbers separated by commas.
- Choose whether to simplify first and whether to show factorization steps.
- Click Calculate.
- Read the LCD and the rewritten equivalent fractions below.
What the result means
The least common denominator is the smallest denominator that all entered fractions can share without changing their values. After finding it, each fraction is converted into an equivalent fraction with that common denominator, which makes comparing, adding, or subtracting fractions much easier.
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