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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.
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
What is the common multiple of 120 and 149?
There are many common multiples of 120 and 149. A common multiple is simply a multiple of both numbers. The least common multiple is 120x149, since 149 is prime. (Note: this trick doesn't work on all pairs of number. Although the product is always a multiple, it's not the least common multiple.)
What is The lowest product that several numbers can have in common?
That's the least common multiple, or LCM.
What is the least common multiple of two co-prime numbers?
Their product.
Is the product always the least common multiple of the numbers?
No, only if the numbers are relatively prime.
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 any two numbers their product?
Sometimes, not always.
Is the least common multiple of two prime numbers always their product?
Yes.
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 LCM of two numbers their product?
Yes, the least common multiple is the product of the two numbers or the lowest number that both multiples can go into.
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.
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.
What is the least common multiple of 7 and 23?
7 times 23. The product of 2 numbers is always a common multiple but not necessarily the least. Question for you : When is the LCM the product ? Think about the relation between the product, the LCM and the Greatest Common Factor.
Is the LCM of two numbers the product of the two numbers explain in words?
Not always. The product of two numbers will always be a common multiple, but it will not always be least. The product of 4 and 9 is 36. The LCM of 4 and 9 is 36. The product of 4 and 8 is 32. The LCM of 4 and 8 is 16.
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.
Do two natural numbers always have a least common multiple?
Yes, two natural numbers always have a least common multiple.
