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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.
How do you change GCF into a LCM with 3 numbers?
The product of the GCF and the LCM is the same as the product of the original two numbers. Divide the product of the original numbers by the GCF. The result will be the LCM.
Is the LCM of two numbers that have no common factors their product?
The LCM of two numbers is one of the numbers when one of the numbers is a multiple of the other. The LCM of two numbers is the product of the numbers when they are relatively prime. In all other cases (like consecutive even numbers that aren't 2 and 4) the LCM is as you describe.
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 two numbers LCM that is the product of the numbers?
Any two that are relatively prime.
