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Earn +20 ptsQ: When is the LCM of 2 numbers less than their product?
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What are two numbers whose LCM is less than their product?
The LCM of 4 and 6 is 12.
Why do some numbers have their LCM and their product the same?
If the two numbers do not have any factors in common (other than 1), then the LCM is the same as the product of the two numbers. Example: LCM of 5 & 6 is 30, which is the same as the product.
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 product of the GCF and LCM of two numbers?
The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.
Can the LCM of a pair of numbers ever be less than both numbers?
No.
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