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How can determine from the prime factorizations wheather the least common multiple of two numbers of the product of numbers or is less then the product of two numbers?
If the prime factorizations have no numbers in common, the LCM is their product.
How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the numbers?
If the prime factorizations have no factors in common, the LCM is the product of them.
How can you determine from the prime factorizations whether the least common multiple of two numbers is the product of the numbers or is less than the product of the two numbers?
If none of the prime factors are in common, the LCM will be the product of the two.
How can you determine from the prime factorizations whether the least common multiple of two numbers is the product of the numbers or is less that the product of the two numbers?
If there are no prime factors in common, the LCM will be the product. If there are prime factors in common, the LCM will be less than the product.
How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the number?
If the two numbers have no common prime factors, the LCM will be the product of the numbers.
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.
When is the product of two numbers divided by the greatest common multiple the least common multiple?
Never. The greatest common multiple of any two numbers is infinite.
What is the common multiple of?
Multiply any two numbers together. Their product will be a common multiple of the two.
What is the least common multiple of 14 and 70?
Since 70 is a multiple of 14, it is the least common multiple. Or, you can determine it as you would any pair of numbers. The least common multiple of two numbers is the product of the two numbers divided by their greatest common factor. The greatest common factor of 14 and 70 is 14. Therefore, the least common multiple 14 x 70 ÷ 14 = 70.
Is the product of two numbers always a common multiple of those numbers?
Yes.
Is the product of two whole numbers always a common multiple of he numbers?
yes
Is the product of two whole numbers a common multiple of the two numbers?
Yes
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