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If you know that two numbers are relatively prime can you predict what the least common multiple will be?
Wiki User
∙ 12y ago
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
Wiki User
∙ 12y ago
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What are the two numbers if they are relatively prime and their sum is 20 and their least common multiple is 99?
If the two numbers are relatively prime, their least common multiple is their product. The prime factors of 99 are 3, 3, and 11. Since the two numbers are relatively prime, the possibilities are 9 and 11 or 1 and 99. The pair of 9 and 11 add up to 20 and their least common multiple is 99. So, 9 and 11 are the two numbers.
When is the least common multiple of two numbers equal to their product?
When the two numbers are relatively prime (their GCF is 1)
Is 16 a common multiple?
A common multiple is a multiple that two or more given numbers have in common. 16 is not a common multiple of 7 and 8. 16 is a common multiple of 4 and 8. So, it depends on the numbers for which you are trying to find a common multiple.
Does a factor mean the same as a highest common multiple?
No.When talking about factors and multiples the numbers are integers (whole numbers).A factor of a number means that the number is a multiple of the factor; the factor divides into the number without any remainder.There is no such thing as a Highest Common Multiple - it is always possible to find a higher common multiple (by adding the Lowest Common Multiple to the supposed highest common multiple).There is a Lowest Common Multiple (LCM) which is the smallest number which is a multiple of two or more numbers. It is also called the Least Common Multiple, or when working with fractions it can be referred to as the Least Common Denominator as the two or more numbers are the denominators of the fractions and equivalent fractions are being sought to be able to do an addition or subtraction.There is a Highest Common Factor (HCF) which is the largest number which divides into each of the two or more numbers without remainder. It is also called the Greatest Common Factor. If the numbers are relatively prime (or co-prime) their HCF is 1.
Is 86 and 154 relatively prime or not relatively prime?
86 and 154 are not relatively prime because they are both even numbers. Relatively prime numbers have no common factors other than 1, and all even numbers have 2 as a common factor.
If you know the greatest common factor of two numbers is 1 can you predict what the least common multiple will be?
2
What two numbers have the same product as their least common multiple?
Prime numbers or relatively prime numbers.
Is the product always the least common multiple of the numbers?
No, only if the numbers are relatively prime.
What is the least common factor when numbers are relatively prime?
The least common factor of any set of positive integers is 1. The least common multiple of relatively prime numbers is their product.
Can you predict what the least common multiple will be if the greatest common factor of two numbers is 1?
Yes, the LCM will be the product of the original two numbers.
When will the Least Common Multiple LCM of two numbers be the product?
When the two numbers have no common factors. This is called relatively prime.
What least common multiple equals the product of the two numbers?
If the least common multiple of two numbers equals the product of the two numbers, then the numbers are relatively prime, that is their highest common factor is 1. For example, the numbers 10 and 21: The lcm is 10 x 21 = 210 They are relatively prime since their hcf is 1.
What are the two numbers if they are relatively prime and their sum is 20 and their least common multiple is 99?
If the two numbers are relatively prime, their least common multiple is their product. The prime factors of 99 are 3, 3, and 11. Since the two numbers are relatively prime, the possibilities are 9 and 11 or 1 and 99. The pair of 9 and 11 add up to 20 and their least common multiple is 99. So, 9 and 11 are the two numbers.
What is a 2 numbers who have a least common multiple and a if you multiply them together you get the answer of there least common multiple?
Two numbers that are relatively prime (have a GCF of 1) like 25 and 36, will have their product as the LCM.
What is the least common multiple of 5 7 6?
The numbers 7,6, and 5 have no common factors. We call such numbers relatively prime.When we want the LCM of relatively prime numbers we find it by looking at their product.This mean we multiply them, so we have 7x6x5=210210
What is the least common multiple of 2 coprime numbers?
The least common multiple of two numbers is the product of those two numbers divided by their greatest common factor. It the two numbers are coprime (or relatively prime), their greatest common factor is 1. Therefore, their least common multiple is a x b ÷ GCF (of a and b) = a x b ÷ 1 = a x b. The least common multiple of two coprime numbers is the numbers multiplied together.
When is the least common multiple of two numbers equal to their product?
When the two numbers are relatively prime (their GCF is 1)
