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When does the least common multiple of two numbers equal their product?
Wiki User
∙ 8y ago
When there are no common factors other than 1.
Wiki User
∙ 8y ago
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What set of 3 numbers whose LCM is the product of the number?
The set of three numbers whose LCM (Least Common Multiple) is equal to the product of the numbers would be {1, 2, 2}. Here's how it works: LCM(1, 2, 2) = 2, which is also the product of the numbers (1 * 2 * 2 = 4).
Product of 2 prime numbers is equal to product of 2 other prime numbers?
No, the product of two prime numbers is unique.
What composite number is equal to the product of the first four prime numbers?
The first four prime numbers are 2, 3, 5, and 7. The product of these numbers is 210.
What are two prime numbers that equal 22?
The product of the two prime numbers 2 and 11 is 22.
When is the LCM of two numbers equal to the product of the two numbers?
When the two numbers are coprime. Coprime numbers need not be prime numbers - they must not have any factor in common (other than 1). So, for eaxmple, neither 8 nor 9 are prime numbers but they are coprime and so, LCM(8 , 9) = 72
Is it true that the Least Common Multiple of two numbers is equal to their product divided by their Greatest Common Factor?
Yes.
Why is the least common multiple of 2 prime numbers their product?
Because prime numbers don't have any common prime factors. Their GCF is 1. Since the product of the GCF and LCM of a pair of numbers equals the product of the numbers, the LCM has to be equal to 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 is the least common multiple of two numbers equal to their product?
When the two numbers are relatively prime (their GCF is 1)
what is the lowest common multiple of 72 and 42?
The Least Common Multiple of two numbers is equal to their product divided by their greatest common factor.The greatest common factor of 72 and 42 is 6, so their Least Common Multiple is 72 * 42 / 6 = 504.
What is the connection between a common factor and the common multiples of two numbers?
The product of the GCF and LCM of two numbers will equal the product of the two numbers.
What is the relationship does the greatest common factor and the LCM have?
The product of the GCF and LCM is equal to the product of the original two numbers.
What is the Lcms of 5 and 15?
If one number is divisible by another (in this case, 15 is divisible by 5), then the least common multiple is equal to the larger of the numbers (15), and the greatest common factor is equal to the smaller of the numbers (5).If one number is divisible by another (in this case, 15 is divisible by 5), then the least common multiple is equal to the larger of the numbers (15), and the greatest common factor is equal to the smaller of the numbers (5).If one number is divisible by another (in this case, 15 is divisible by 5), then the least common multiple is equal to the larger of the numbers (15), and the greatest common factor is equal to the smaller of the numbers (5).If one number is divisible by another (in this case, 15 is divisible by 5), then the least common multiple is equal to the larger of the numbers (15), and the greatest common factor is equal to the smaller of the numbers (5).
How can you determine from the prime factorization wheather the least common multiple of two numbers is the prouduct of the numbers or is less then the prouduct of two numbers. explain your thinking?
If the two numbers have no common factors (other than 1), then the LCM is equal to the product of the two numbers. If they have some factors in common, then those factors need only be used once when multiplying, so the LCM will be less than the product of the two numbers.
How can you determine if the least common multiple of 2 numbers is the product of the 2 numbers or less than the product of the 2 numbers?
If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.
How can you use greatest common factor x least common multiple equals A x B?
The product of any two integers is equal to the product of their GCF and LCM. That means you can find any of those four numbers by knowing the other three.
How many positive integers less than 1000 are multiples of 5 and equal to 9 times an even integer?
There are eleven such numbers.Get the common multiple of those numbers. All other common multiples will be multiples of this common multiple; that is, you can multiply the common multiple by 1, by 2, by 3, etc. to get additional numbers that are multiples of both numbers.
