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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.
