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

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โˆ™ 2016-09-04 10:17:01
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Is the least common multiple of two numbers always divisible by the greatest common factor of the two numbers?
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Is a odd number always divisible by 5?

NO. Odd numbers are not always divisible by 5. Examples: 3 , 7, 9, 11, 13, 17, ... are odd numbers and they are not divisible by 5.


Can two even numbers have a greatest common factor that is an odd number?

No. Because both numbers are even, they each have 2 as a factor. Even if they have a larger factor in common, it will be a multiple of 2, so the greatest common factor will be an even number.Yes. Two even numbers are each divisible by 2. The GCF must therefore always have two as one of its factors; this makes it even.


What is the greatest common multiple of 4 and 6?

There is really no such thing as a "greatest common multiple". Once you find the least common multiple of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.


What is the greatest common multiple of 4 and 8?

There is really no such thing as a "greatest common multiple". Once you find the least common multiple of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.


What is the greatest common multiple for 45 and 36?

There is really no such thing as a "greatest common multiple". Once you find the least common multiple of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.

Related questions

True or False A common multiple of two numbers is always divisible by both the number?

True


What is the greatest common multiple of 85 and 51?

There is no greatest common multiple of two numbers. For whatever number you come up with I can always add the lowest common multiple of the numbers to get an even higher common multiple.


When one number is a multiple of another the gcf of the numbers is always sometimes or never the greatest of the numbers?

The answer is sometimes - when the multiple in question is 1.


What is the greatest common multiple of 11and 17?

Greatest common multiple of two prime numbers is always 1. Therefore, gcf of 11 and 17 is 1.


How can you find a greatest common multiple by using a factor tree?

Trees aren't necessary. The greatest common multiple of any set of numbers is always infinite.


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.


What is the greatest common multiple of 6 and 35?

The greatest common multiple of any set of integers is infinite.


Is the sum of two consecutive numbers always divisible by 2?

No, the sum of two consecutive numbers is always an odd number, and is not divisible by two.


Is a odd number always divisible by 5?

NO. Odd numbers are not always divisible by 5. Examples: 3 , 7, 9, 11, 13, 17, ... are odd numbers and they are not divisible by 5.


Is it always true that if you divide the product of two numbers by the Greatest common factor you find the Least common multiple?

Yes, as long as the numbers are positive.


Can two whole numbers have a greatest common multiple?

No, there is really no such thing as a "greatest common multiple". Once you find the least common multiple of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.


What is the greatest common multiple for any two numbers?

There is really no such thing as a "greatest common multiple". Once you find the least common multiple of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.

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