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Features of the least commno multiple

  1. lcm(a,a) = a - idempotent
  2. lcm(a,b) = lcm(b,a) - commutativeness
  3. lcm(a,b) = (a . b) / GCD(a,b) (GCD is the greatest common divisor)

Usage

lcm is used, for example, to add or subtract fractions of different denominators, where the denominator of result is the least common multiple of denominators of added or subtracted fractions.

Instructions:

Least Common Multiple (labeled as lcm) of several given integers is the smallest positive number that is a multiple of all given integers. A common multiple of two or more integers is a number that is a multiple of each of those integers.

For example: lcm(48,90) = 720

Example

How much is lcm(10,4)?

Your answer:

lcm(10,4) = ________.

Solution

How much is lcm(10,4)?

Your answer:

lcm(10,4) = 20.

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