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Q: 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 that the product of the two numbers?

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If the prime factorizations have no numbers in common, the LCM is their product.

If the prime factorizations have no factors in common, the LCM is the product of them.

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

If there are no prime factors in common, the LCM will be the product of the two numbers. If common factors exist, the LCM will be less. It will never be more.

5 and 11, as prime numbers, don't have prime factorizations. Their LCM is 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.

If the two numbers have no common prime factors, the LCM will be the product of the numbers.

The result of multiplying two whole numbers is called a product. It is a multiple of each of the whole numbers.

Yes - if two numbers share no common factors (besides 1) the least common multiple will be the product of the numbers.

Yes. It's a multiple of each of them.

No, the factors are the whole numbers. The product is the multiple.

Multiply the numbers

Since 70 is a multiple of 14, it is the least common multiple. Or, you can determine it as you would any pair of numbers. The least common multiple of two numbers is the product of the two numbers divided by their greatest common factor. The greatest common factor of 14 and 70 is 14. Therefore, the least common multiple 14 x 70 ÷ 14 = 70.

As the numbers 1 to 99 are multiplied together, one factor of the product will be 10 which means the last digit must be 0 (a zero). Without working out the product, it can be seen that every multiple of 5 in the original numbers can be paired up with an even number (that is not a multiple of five) and multiplied together (which produces a multiple of 10) which are all factors of the product together; thus the product will ends with that number of zeros: there are 19 multiples of 5 in the numbers 1-99, so the last 19 digits of the product are all 0 (zero).

A product.

A prime factorization is the same as expressing a composite number as the product of its prime factors. Prime numbers don't have factorizations; they're already prime.

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

Yes.

yes

Yes

The least common multiple of two numbers is the product of those two numbers, divided by the greatest common factor of those two numbers. Two numbers that are relatively prime have a greatest common factor of 1. So, when the two numbers are relatively prime, the least common multiple is the product of both numbers divided by 1. So, when two numbers are relatively prime, the least common multiple is the product of the two numbers.this is wron

Never. The greatest common multiple of any two numbers is infinite.

Any number that is a product of another two numbers. For example, 2x2=4, therefore 4 is a multiple of 2. You can find multiples by multiplying two numbers together; the product is a multiple of both the multiplicand and multiplier.

Example: 30 and 42Factor them.2 x 3 x 5 = 302 x 3 x 7 = 42Combine the factors, eliminating duplicates.2 x 3 x 5 x 7 = 210, the LCMIf there are no common prime factors, the LCM is the product of the original two 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.