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In arithmetic and number theory, the least common multiple or lowest common multiple (lcm) or smallest common multiple of two integers a and b is the smallest positive integer that is a multiple of both a and b. Since it is a multiple, it can be divided by a and b without a remainder. If there is no such positive integer, e.g., if a = 0 or b = 0, then lcm(a, b) is defined to be zero.) For example, the least common multiple of the numbers 4 and 6 is 12. When adding or subtracting vulgar fractions, it is useful to find the least common multiple of the denominators, often called the lowest common denominator. For instance, : where the denominator 42 was used because lcm(21, 6) = 42.

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Q: The definition of Common multiples
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Related questions

What do common multiples multiples and least common multiples have in common?

They are all multiples.


What do you call multiples that are shared by two or more numbers?

Those are known as "common multiples". The smallest POSITIVE of these common multiples is called the "least common multiple".


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Common Multiples of 8:8,16,24,32,40,48,56,64,72,80,88 and 96 Common Multiples of 12:12,24,36,48,60,72,84 and 96


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What are the Common multiples of 21 and 18?

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What is a word problem that involves common multiples?

A word problem that involves common multiples could be, "Whatare the common multiples of 10 and 15?"


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Common multiples and common denominators can be found using the same process. They differ in their function. Common denominators are common multiples that are functioning as denominators.


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