0
Still curious? Ask our experts.
Chat with our AI personalities
Ezra
Fran
Coach
Add your answer:
Earn +20 pts
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.
What is the least common multiple of 11 and 23?
The LCM or least common multiple is 253. In this case, the greatest common factor of the two numbers is 1. That is to say, they have no other common factors. We call these numbers relatively prime. When two numbers are relatively prime their LCM is always the product of the two numbers.Sometimes it is easier to find the greatest common factor than to find the least common multiple by looking at multiples of both numbers. This is true if the numbers are primes like 11 and 23. So if you are give two primes, the LCM will always be the product of the two numbers.
What is the least common multiple of 43 and 7?
The least common multiple of the numbers 7 and 43 is 301.
Can you find the least common multiple in prime number?
The least common multiple (LCM) refers to a multiple that is COMMON to two or more numbers. If you have only one number - whether or not it is a prime - you cannot have a least COMMON multiple.
What is the least common multiple of two prime number?
The LCM of prime numbers is simply their product (a x b, or x*y). 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 two prime numbers is 1. Therefore, the least common multiple of two prime numbers is the two numbers multiplied together, since dividing by 1 will not change the answer. The same applies to "relatively prime" numbers such as 10 and 21, where the GCF is also 1.
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 whole numbers always a common multiple of he numbers?
yes
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.
