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How do you find the least common multiple of two numbers using the product of their prime factors?
Wiki User
∙ 9y ago
Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the highest amount of each factor.
2 x 3 x 5 x 7 = 210, the LCM
Wiki User
∙ 9y ago
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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.
What is the least common multiple for 686 and 365?
The least common multiple (lcm) of two or more numbers is the product of all prime factors of the numbers to their highest powers.The prime factors of 686 are 2 and 73The prime factors of 365 are 5 and 73.The least common multiple of 686 and 365 is 250390 (2 x 5 x 73 x 73).
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 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.
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.
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.
