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In arithmetic and number theory, the **least common multiple** (also called the **lowest common multiple** or **smallest common multiple**) of two integers *a* and *b*, usually denoted by **LCM( a, b)**, is the smallest positive integer that is divisible by both

The LCM is familiar from grade-school arithmetic as the "lowest common denominator" (LCD) that must be determined before fractions can be added, subtracted or compared . The LCM of more than two integers is also well-defined: it is the smallest positive integer that is divisible by each of them.

A multiple of a number is the product of that number and an integer. For example, 10 is a multiple of 5 because 5 × 2 = 10, so 10 is divisible by 5 and 2. Because 10 is the smallest positive integer that is divisible by both 5 and 2, it is the least common multiple of 5 and 2. By the same principle, 10 is the least common multiple of −5 and 2 as well.

This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Least_common_multiple

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