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# 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?

Updated: 4/28/2022

Wiki User

7y ago

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.

Wiki User

7y ago

Wiki User

7y ago

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

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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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Related questions

### How can yo determine whether the LCM of two numbers is the product of the numbers or less than the product of the numbers?

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

### 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.

### How can you determine from the prime factorizations whether the least common multiple of two numbers is the product of the numbers or is less than the product of the two numbers?

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

### 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.

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### Product of prime numbers less than 100?

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

### Given a pair of numbers how can you tell whether their least common multiple will be less than or equal to their product?

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.

### The product of two numbers that are less than zero is also less than zero.?

No. The product of two negative numbers is positive.

### 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.

### Is the product of two positive mixed numbers less than one?

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

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### Is the product of two positive mixed numbers ever less than one?

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