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Q: When is the LCM of two numbers neither of the number nor the product of the two numbers?

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The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.

The LCM of two numbers is the product of the numbers if one of the numbers is a prime. Since 11 is a prime, the LCM of 10 and 11 is 110 (10 x 11). If neither number had been a prime, the LCM would have been the product of all the prime factors of the numbers to their greatest power.

The LCM of two numbers is one of the two numbers when that number is a multiple of the other. The LCM is the product of two 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.

The product of the original numbers is equal to the product of the GCF and LCM. Divide the product of the LCM and GCF by the one number. The answer will be the other.

The product of the GCF and LCM of two numbers is equal to the product of the two numbers. The other number is 126.

Numbers that are relatively prime have their LCM as their product.

The LCM of a set of prime numbers is their product.

The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.

The product of the GCF and LCM of two numbers is the same as the product of the numbers.

When the GCF is greater than 1. When they have a prime factor in common.

If the second number is a multiple of the prime number, than the LCM is the second number. If the second number is not a multiple of the prime number, then the two numbers are relatively prime, and the LCM is the product of the two numbers.

No. You can only find the LCM of at least two numbers, prime or otherwise. The LCM of any two prime numbers is their product.

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