Only if they are odd.
Then, we obtain the multiple or the product of prime numbers.
No, only if the numbers are relatively prime.
The product of all pairs of prime numbers is always the least common multiple of the two prime numbers.
When they have no common prime factors.
Yes.
Yes, the least common multiple (LCM) of a prime number and a composite number will always be a multiple of the prime number. This is because the LCM is the smallest number that is a multiple of both numbers. Since the prime number is a factor of itself and the LCM is a multiple of both numbers, the LCM will always be a multiple of the prime number.
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.
The Least Common Multiple (LCM) of two prime numbers is the product of the two prime numbers. This is because prime numbers only have themselves and 1 as factors, so their LCM is simply their product.
You don't always. 2 + 5 = 7, for example. But all prime numbers other than 2 are odd and two odd numbers always equal an even number when added together.
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.
Not quite.When two prime numbers of 3 and higher are added together, the result is always even, because all such prime numbers are odd numbers, and when two odd numbers are added together, the result is always an even number.However 2 is a prime number, and 2 is also an even number. Adding 2 (an even number) to a different prime number (an odd number) will always yield an odd number.Only if you don't include "2".
No two prime numbers added together have a sum of 97. All primes except the number 2 are odd numbers, and two odd numbers added together always produce an even sum.