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โˆ™ 2013-03-07 00:02:20
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Is the least common multiple of two prime numbers always their product?
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Related questions

Is the product always the least common multiple of the numbers?

No, not always.


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


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 least common multiple of two numbers the product of the two numbers?

Sometimes, not always.


Is the least common multiple of any two numbers their product?

Sometimes, not always.


Is the product always the least common multiple of the number?

No, only if the numbers are relatively prime.


Are there any pairs of prime numbers that when multiplied do not make their least common multiple?

The product of all pairs of prime numbers is always the least common multiple of the two prime numbers.


Is the least common multiple of two numbers the product of those two numbers multiplied together?

Multiplying two numbers together will create a common multiple. It is sometimes, but not always, the LCM as well.


Is it always true that if you divide the product of two numbers by the Greatest common factor you find the Least common multiple?

Yes, as long as the numbers are positive.


Is the product of two whole numbers always the least common multiple of the numbers?

It's always a common multiple; it's not always least. Simple counter example: 4 × 6 = 24 But LCM(4, 6) = 12 ------------------------------------------------------------------------------------ Note: HCF(4, 6) = 2 What is true of any two whole numbers that the product of the two numbers is equal to the product of their highest common factor and lowest common multiple. eg 4 × 6 = hcf(4, 6) × lcm(4, 6) = 2 × 12 = 24.


Can you always find the LCM for two numbers by muiltiplying them together?

No, this will find a common multiple, but not always the least. For example, 2 and 4 have a least common multiple of 4 but if you multiply them you get 8. In fact, the LCM will only be the product of two numbers if the numbers have no common factors. We call numbers with no common factors relatively prime.

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