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Because the LCM has to be a multiple of both numbers. A number can't have a multiple smaller than itself.

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11y ago
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10y ago

This is because 0 is not a multiple of any number

ex: zero does not go into 56 or 24

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9y ago

The LCM is defined as a positive integer.Zero is neither positive nor negative.

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8y ago

It can, but only if the two numbers don't have any common factors other than 1. The LCM of 4 and 9 is 36.

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8y ago

The concepts of GCF and LCM are restricted to positive integers. Since zero is a multiple of every number, it would be the answer to every LCM problem, rendering the concept meaningless.

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Q: Why can't a LCM be a product of two numbers?
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Related questions

What is the LCM of two numbers is t (always sometimesnever) he product of the two numbers?

The LCM of two numbers is sometimes 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.


Is The LCM of two different prime numbers their product?

Yes,LCM of two numbers is their product.


How would you explain the LCM of the two numbers is their product?

The LCM of two numbers is their product if and only if the two numbers are co prime, that is their HCF is 1. Otherwise their LCM in not their product, in fact, it is their product divided by their HCF.


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 find the LCM using GCF?

The GCF of two numbers multiplied by their LCM will equal the product of the original numbers. If you know the GCF, divide it into the product of the two. The result will be the LCM. If the GCF of two numbers is 1, the LCM is their product.


What is the LCM of two co prime numbers?

Product of the two prime numbers is the LCM. For example 3, 7 have 21 as LCM


Can the LCM of two numbers be the product the two numbers?

yes


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.


What is the relation between HCF and LCM?

Since the product of two numbers is equal to the product of their GCF and LCM, the GCF of two numbers is equal to their product divided by their LCM and their LCM is equal to their product divided by their GCF.


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

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.