what is a least common multiple

what is a least common multiple

5 hours ago 2
Nature

What is a Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest positive integer that is a multiple of all the numbers.

Explanation:

  • A multiple of a number is the product of that number and an integer. For example, multiples of 3 are 3, 6, 9, 12, and so on.
  • The LCM is the smallest number that appears in the list of multiples of each number.

Example:

Find the LCM of 4 and 6.

  • Multiples of 4: 4, 8, 12, 16, 20, ...
  • Multiples of 6: 6, 12, 18, 24, 30, ...

The smallest common multiple is 12 , so the LCM of 4 and 6 is 12.

Why is LCM useful?

  • It helps in adding, subtracting, or comparing fractions with different denominators.
  • It is used in solving problems involving repeated events or cycles.

If you'd like, I can also show you how to find the LCM using prime factorization or other methods!

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