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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.
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 is the lowest common multiple of 9 and 11?
Since 9 and 11 share no common factors (other than 1) the lowest common multiple will be the product of the two numbers, i.e. 99.
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.
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
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.
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 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 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.
When does the least common multiple of two numbers equal their product?
When there are no common factors other than 1.
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.
What two numbers have 23 and 5 as factors?
Their least common multiple (or their product - any multiple will do), and any multiple of that.
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 is the LCM of the numbers 3 and 8?
These numbers do not share any common factors hence the least common multiple is the product-24.
What is the least common multiple of 22 39 19 and 23?
Since these numbers don't have any common factors, the least common multiple is the product of all of them.
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.
What is the least common factor for two numbers if there are no common factors greater than 1?
The least common factor for two numbers is always one. The least common multiple for two numbers which have no common factors greater than one is their product.
