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LCM Calculator

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This online Least Common Multiple (LCM) Calculator quickly finds the LCM of given numbers.

Definition of LCM: The least common multiple (also known as lowest common multiple or smallest common multiple) of two integers a and b is the smallest positive integer that is divisible by both a and b.

Use of LCM: The LCM is the "lowest common denominator" (LCD) that can be used before fractions can be added, subtracted or compared.

Explanation and Example of LCM

Let's calculate the LCM of 4 and 6. The function for this will be written as lcm (4, 6)

Multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, ...

Multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, ...

As we can see from these lists, the common multiples of 4 and 6 are: 12, 24, 36, 48, 60, 72, ...

In the list of common multiples, the smallest number is 12. Hence, the least common multiple is 12.