Least Common Denominator Calculator

Formula and method

The least common denominator is the least common multiple of the validated denominator magnitudes. Denominator signs are normalized before exact BigInt GCD/LCM arithmetic. Each input is then rewritten with the common denominator without adding or subtracting the fractions.

Worked example

For 1/4 and 1/6, LCM(4,6) = 12, so the LCD is 12; the equivalent fractions are 3/12 and 2/12.

Inputs and boundaries

• Every item must use integer numerator/denominator notation.
• A denominator cannot be zero; its sign does not affect the LCD.
• The list is limited to 100 fractions with numerator and denominator parts up to 50 digits.
• LCM Calculator retains least-common-multiple intent for integer lists.

Inputs and results stay in this browser and are not sent to analytics, storage, URLs, or network services.