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What is the LCM of 5 and 7 pair of prime numbers?
The LCM is: 35
What is it called when the product of a pair of numbers is the LCM also?
The numbers are relatively prime, or co-prime.
How do you find the least common multiple that are prime?
The LCM of a set of prime numbers is their product.
What is the LCM of a pair of numbers whose prime factorizations are 2x2x3x5 and 2x3x3?
The LCM of 60 and 18 is 180
What is the general rule for finding the LCM of a pair of prime numbers?
Multiply them together.
What is the LCM of pair of numbers whose prime factorization are 2?
This question feels incomplete, but as written the LCM is 2.
Why is the LCM also the product of a pair?
Sometimes it is, sometimes it isn't. If the two numbers have a GCF of 1, they are co-prime or relatively prime and their LCM will be their product.
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.
What are the 2 pairs of numbers whose LCM is the product of the numbers?
Any pair of prime numbers. 5 and 7 11 and 13
If the least common multiple of two numbers is the product of those numbers what can you say about the two numbers?
In any number pair where one of the numbers is a multiple of the other, that number is the LCM.
What is the LCM of 100 and 130?
Find the LCM by finding prime factorization of both numbers:100 = 2 * 2 * 5 * 5130 = 2 * 5 * 13Then, count each pair of prime numbers. The two factorizations have two pairs of prime numbers: one pair of 2's and one pair of 5's (pairs are bolded, above):Paired primes: 2, 5Next, count the remaining primes and multiply them with the paired primes.Paired primes: 2, 5Unpaired primes: 2, 5, 13The LCM of 100 and 130 is2 * 2 * 5 * 5 * 13 = 1300
How is the LCM related to the relatively prime numbers?
When two numbers are relatively prime, the LCM will be their product.
