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Q: Is LCM of two prime numbers is always the product of those numbers?

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Because it will have those numbers as factors.

Numbers that are relatively prime.

Yes.

They are relatively prime.

The least common multiple of two different prime numbers is the product of those two prime numbers.

This can be an extension to the proof that there are infinitely many prime numbers. If there are infinitely many prime numbers, then there are also infinitely many PRODUCTS of prime numbers. Those numbers that are the product of 2 or more prime numbers are not prime numbers.

The product of two numbers could be either a composite number or a prime number. If one of those numbers is 1 and the other is a prime number, the result is that prime number. If neither number is 1, the product of the two numbers will be a composite number. If one of those numbers is 1 and the other is not a prime number, the product will not be a prime number. So, in most cases, it will be a composite number.

The product of all those numbers will always be a negative number.

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

They are relatively prime and have no common factors greater than one.

prime numbers are those numbers who have no common factors except 1.

None of those four numbers are prime numbers.

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