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By finding out whether they have any factors in common. If the only factor they have in common is 1, the LCM will be their product. If they have more factors in common, their LCM will be less than their product.

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If the numbers have no factor in common (ie they are coprime), the LCM will be their product. Otherwise the LCM will be smaller.

Q: How can you determine whether the LCM of two numbers is the product of the numbers or is less than the product if the numbers?

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If the two numbers have no common factors other than 1, the LCM will be their product. If there are other common factors, the LCM will be less.

The product of the prime numbers less than 100 is 2.3055679639455188e+36

The primes less than 10 are 2,3,5 and 7 with a product of 210.

4,6,8,10

30, 42, and 70

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If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.

If the two numbers have no common factors other than 1, the LCM will be their product. If there are other common factors, the LCM will be less.

If none of the prime factors are in common, the LCM will be the product of the two.

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.

less

The product of the prime numbers less than 100 is 2.3055679639455188e+36

Given any number, there is an even number that exists greater than it. That even number is a product: of 2 and some number. Therefore, the number that you started with is less than the product of a pair of numbers.

No. The product of two negative numbers is positive.

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.

No, the product of two positive mixed numbers can never be less than one.

infinity

No, the product of two positive mixed numbers can never be less than one.