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Earn +20 ptsQ: Why is the LCM also the product of a pair?
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What is it called when the product of a pair of numbers is the LCM also?
The numbers are relatively prime, or co-prime.
What is the least common multiple of 20 and 21?
The LCM of 20 and 21 is 420. The LCM of any pair of consecutive integers is their product.
How do you find a pair of whole numbers whose product is 280 and whose LCM is 140?
They are 2 and 140 because their LCM is 140 and their product is 280
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.
Is the LCM of a pair of numbers ever less than both numbers?
The LCM for any pair of natural numbers can be as big as their product.
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