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

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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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How can determine from the prime factorizations wheather the least common multiple of two numbers of the product of numbers or is less then the product of two numbers?

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


How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the numbers?

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


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 tell from the prim factorizations whether the least common multiple of two numbers is a product of two numbers or is less than the product of two numbers?

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.


What is the gcf using prime factorizations of 5 and 11?

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


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


How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the number?

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


Is the product of two whole numbers called a multiple?

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


When the greatest common factor is 1 is the least common multiple of these numbers always the product of the numbers?

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


Is the product of two counting numbers a multiple of those numbers?

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


Is a factor the product of any two whole numbers?

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


To determine the product?

Multiply the numbers


What is the least common multiple of 14 and 70?

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.


All the numbers from 1 to 99 are multiplied together Use a pattern to determine the last digit of the product?

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).


When you multiple two numbers together what do you get?

A product.


Is the product of a prime number the same as the prime factorization?

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.


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?

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.


Is the product of two numbers always a common multiple of those numbers?

Yes.


Is the product of two whole numbers always a common multiple of he numbers?

yes


Is the product of two whole numbers a common multiple of the two numbers?

Yes


If you know that two numbers are relatively prime can you predict what the least common multiple will be?

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


When is the product of two numbers divided by the greatest common multiple the least common multiple?

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


What is an example of a multiple?

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.


How can you determine from the prime factorizations whether the least common multiple of two numbers?

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.


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.