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Given a pair of numbers how can you tell whether their least common multiple will be less than or equal to their product?
Wiki User
∙ 7y ago
Given any number, there is an even number that exists greater than it. That even number is a product: of 2 and some number. Therefore, the number that you started with is less than the product of a pair of numbers.
Wiki User
∙ 9y ago
Wiki User
∙ 7y agoIf their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM will be less than their product.
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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.
Find two pairs of numbers whose least common multiple is less than the product of the numbers?
4 and 6 6 and 8 Any time the two numbers have a common factor, their LCM will be less than the product because the common factor contributes to the LCM fewer times than it contributes to the product.
What is the least common multiple of 5 and 23?
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 5 and 23 is 1. (See related question "What is the greatest common factor of 5 and 23?" for this calculation.) So, the least common multiple is 5 x 23 ÷ 1 = 115.
What is the least common multiple for the numbers 8 6?
The least common multiple of the numbers 8 and 6 is 24.
What does common multiple mean?
All nonzero numbers have multiples. Some numbers have some of the same multiples as other numbers. These are known as common multiples. 12 is a multiple of 3. 12 is a multiple of 4. 12 is a common multiple of 3 and 4.All non-zero numbers have multiples. Some numbers have some of the same multiples as other numbers. These are known as common multiples. 12 is a multiple of 3. 12 is a multiple of 4. 12 is a common multiple of 3 and 4.
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 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.
Can you find the least common multiple in prime number?
The least common multiple (LCM) refers to a multiple that is COMMON to two or more numbers. If you have only one number - whether or not it is a prime - you cannot have a least COMMON multiple.
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.
If you know that two numbers are relatively prime can you predict what the least common multiple will be?
The least common multiple of two numbers is the product of those two numbers, divided by the greatest common factor of those two numbers. Two numbers that are relatively prime have a greatest common factor of 1. So, when the two numbers are relatively prime, the least common multiple is the product of both numbers divided by 1. So, when two numbers are relatively prime, the least common multiple is the product of the two numbers.this is wron
Is the product of two whole numbers always a common multiple of he numbers?
yes
What is the least common multiple if you have 2 prime numbers?
Their product.
What is lowest common multiple of two consecutive numbers?
Their product.
How can you determine whether the LCM of two numbers is the product of the numbers or is less than the product if the numbers?
By finding out whether they have any factors in common. If the only factor they have in common is 1, the LCM will be their product. If they have more factors in common, their LCM will be less than their product.
