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Q: Is it true that the LCM of 2 numbers is the product of the 2 numbers?

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Sometimes, not always.

Their product.

Their GCF will be 2. Their LCM will be half their product.

If the GCF is 1, the LCM is the product. If the GCF is more than 1, the LCM is less than the product.

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.

When the two numbers are relatively prime.

Yes.

800

The GCF of consecutive even numbers is 2. The LCM of consecutive even numbers is their product divided by 2.

Because prime numbers don't have any common prime factors. Their GCF is 1. Since the product of the GCF and LCM of a pair of numbers equals the product of the numbers, the LCM has to be equal to the 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.

The LCM of 3, 15 and 36 is 180.

They are relatively prime.

The LCM of 2 and 3 is their product.

The LCM is the product of the two numbers divided by their HCF. With 12 and 13, the HCF is 1. Therefore, the LCM will equal the product. With 12 and 14, the HCF is 2. Therefore, the LCM will be half of the product.

Their product.

The LCM of 4 and 6 is 12.

Their LCM is 2700/(15^2) = 180.

2 x 12 = 24, but there's an easier way if you remember that the product of the GCF and LCM of a pair of numbers will always be equal to the product of the two numbers.

They are 2 and 140 because their LCM is 140 and their product is 280

If they have no common factors other than 1.

Yes, if they have no common factors other than one.

When the numbers are co-prime, ie have no common factor. Simplest example is 2 & 3 whose LCM is 6

1, 2 and 3

These are all prime numbers so LCM is their product ie 210