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The GCF of any two prime numbers is 1 and the LCM is their product.
Wiki User
∙ 8y ago
Wiki User
∙ 10y agoIf the two primes are X and Y
LCM(X, Y = X*Y
and
GCF(X, Y) = 1
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What is the use of prime number?
Prime numbers help you to find the LCM and the GCF.
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 do you find the LCM using GCF?
The GCF of two numbers multiplied by their LCM will equal the product of the original numbers. If you know the GCF, divide it into the product of the two. The result will be the LCM. If the GCF of two numbers is 1, the LCM is their product.
Can you find the least common multiple of two prime numbers?
Yes. For two prime numbers, the LCM is their product: one times the other. Multiply the two. (e.g. LCM of 5 and 7 is 35) By formula, the LCM for x and y is LCM = x * y / GCF and for primes, the GCF (greatest common factor) is 1.
How do you find two numbers if HCF and LCM are known?
The product of the GCF and the LCM of two numbers is equal to the product of the original two numbers. Multiply the GCF and the LCM. The original two numbers will be another factor pair of that total. Find the factor pair that has that GCF and LCM.
What is the use of prime number?
Prime numbers help you to find the LCM and the GCF.
How are gcf LCM and prime factorization related?
You can find the GCF and/or the LCM of a set of numbers by comparing the prime factorizations of the individual members of the set.
How can you find the GCF of a given set of numbers given their LCM but without listing the factors of the numbers?
By finding their common prime numbers.
How are lcm and gcf alike?
The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples.
What is the LCM and GCF of 486472?
To find the LCM and GCF of numbers at least two or more numbers are neeeded.
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 do you find the LCM using GCF?
The GCF of two numbers multiplied by their LCM will equal the product of the original numbers. If you know the GCF, divide it into the product of the two. The result will be the LCM. If the GCF of two numbers is 1, the LCM is their product.
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 do you find GCF knowing LCM?
The LCM of two numbers multiplied by their GCF will equal the product of the original numbers. If you know the LCM, divide it into the product. The result will be the GCF.
Can you find the least common multiple of two prime numbers?
Yes. For two prime numbers, the LCM is their product: one times the other. Multiply the two. (e.g. LCM of 5 and 7 is 35) By formula, the LCM for x and y is LCM = x * y / GCF and for primes, the GCF (greatest common factor) is 1.
Can you find the LCM of a prime number?
No. You can only find the LCM of at least two numbers, prime or otherwise. The LCM of any two prime numbers is their product.
How do you find two numbers if HCF and LCM are known?
The product of the GCF and the LCM of two numbers is equal to the product of the original two numbers. Multiply the GCF and the LCM. The original two numbers will be another factor pair of that total. Find the factor pair that has that GCF and LCM.
