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If A and B are any two whole numbers then A*B is a common multiple. Then either A*B is the least common multiple of A and B or one of its factors is.

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10y ago
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7y ago

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Q: Do two whole numbers always have a least common multiple?
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Related questions

Do two natural numbers always have a least common multiple?

Yes, two natural numbers always have a least common multiple.


Is the least common multiple of two numbers always divisible by the greatest common factor of the two numbers?

Yes, the least common multiple of two numbers is always divisible by those numbers' greatest common factor.


Is the product always the least common multiple of the numbers?

No, only if the numbers are relatively prime.


When the greatest common factor is 1 is the least common multiple of these numbers always the product of the numbers?

Yes - if two numbers share no common factors (besides 1) the least common multiple will be the product of the numbers.


Are there any pairs of prime numbers that when multiplied do not make their least common multiple?

The product of all pairs of prime numbers is always the least common multiple of the two prime numbers.


Is the least common multiple of any two numbers their product?

Sometimes, not always.


Is the least common multiple of two prime numbers always their product?

Yes.


What is the least common multiple of 42 and 80?

The least common multiple of 8 and 42 is one.


Can you always find the LCM for two numbers by muiltiplying them together?

No, this will find a common multiple, but not always the least. For example, 2 and 4 have a least common multiple of 4 but if you multiply them you get 8. In fact, the LCM will only be the product of two numbers if the numbers have no common factors. We call numbers with no common factors relatively prime.


What is the least common multiple of the numbers 2357and 11?

The least common multiple of the numbers 2,357 and 11 is 25,927.The least common multiple of the numbers 23, 57 and 11 is 14,421.


Name numbers that least common multiple is the same as its factor?

All numbers with a least common multiple, have that multiple as a factor.


When is the least common multiple one of itself?

The least common multiple is one of the numbers when one of the numbers is a multiple of the other.