Saltar al contenido
CalculatorGe

Calculadora de mínimo común múltiplo

Find the least common multiple (LCM) of two or more integers: the smallest positive number that all of them divide into evenly. Useful for adding fractions and solving scheduling problems.

La guía de abajo aún no está disponible en español y se muestra en inglés. La calculadora está totalmente traducida.

Cómo usar esta calculadora

  1. Enter two or more whole numbers separated by commas or spaces.
  2. The LCM is calculated exactly, even for very large results.

Fórmula

The LCM is computed from the GCF, which avoids listing multiples. For more than two numbers, apply it pairwise.

lcm(a, b) = |a × b| / gcd(a, b)
lcm(a, b, c) = lcm(lcm(a, b), c)

Example

  1. lcm(4, 6) = 24 / gcd(4, 6) = 24 / 2 = 12.
  2. lcm(12, 15) = 180 / 3 = 60, so lcm(4, 6, 15) = 60.

Preguntas frecuentes

What is the least common denominator?

The least common denominator of several fractions is the LCM of their denominators. For 1/4 + 1/6, the LCD is 12.

What is the LCM of a number and 0?

By convention it is 0, since 0 is a multiple of every integer.

How is LCM used in real life?

Finding when repeating events coincide, for example two buses every 12 and 15 minutes both leave together every 60 minutes.