If the GCF of two numbers is 1, their LCM will be their product. Such numbers are called relatively prime, or co-prime. Any two prime numbers (like 3 and 5) will be that way, but the numbers don't have to be prime (like 4 and 9).
Yes, and of the composite number. LCM stands for Least Common Multiple. It's a multiple that's common to both of them.
Not necessarily.
6 and 8
LCM of 27 & 5 = 27 x 5 = 135. LCM of a prime number and a composite number is equal to their product if the composite number is not a multiple of the prime number.
You need at least two numbers to find an LCM. It doesn't matter whether they are prime or composite.
LCM of a prime number and a composite number is equal to their product if the composite number is not a multiple of the prime number. Here, 14 is not a multiple of 23. So, LCM of 14 & 23 = 14x23 = 322
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.
The Least Common Multiple (LCM) is the smallest number that two or more numbers will divide into evenly
LCM of a prime number and a composite number is always equal to their product if the composite number is not a multiple of the prime number. Here, 41 is a prime number and 20 is a composite number. Therefore LCM(20,41) = 20 x 41 = 820
LCM of 27 & 5 = 27 x 5 = 135. LCM of a prime number and a composite number is equal to their product if the composite number is not a multiple of the prime number.
If the second number is a multiple of the prime number, than the LCM is the second number. If the second number is not a multiple of the prime number, then the two numbers are relatively prime, and the LCM is the product of the two numbers.
You need at least two numbers to find an LCM. It doesn't matter whether they are prime or composite.
There can be no such number.The GCF and LCM are numbers which are COMMON to two or more integers. A single number has nothing else to have something in common with. The greatest factor and the least multiple of any single number is itself and so the question requires a number which is prime (GCF) and composite (LCM). Clearly, such a number cannot exist.
LCM of a prime number and a composite number is equal to their product if the composite number is not a multiple of the prime number. Here, 14 is not a multiple of 23. So, LCM of 14 & 23 = 14x23 = 322
The LCM of a set of prime numbers is their product.
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.
The Least Common Multiple (LCM) is the smallest number that two or more numbers will divide into evenly
The Least Common Multiple (LCM) of 7 and 14 is 14.
LCM of a prime number and a composite number is equal to their product if the latter is not divisible by the former. 5 is a prime number and 49 is a composite number. 49 is not divisible by 5. So, LCM(5,49) = 5 x 49 = 245. Actually the reason behind this is that both(5 and 49) do not share any common factors except 1, so the LCM is equal to the product.
The Least Common Multiple (LCM) for 13 26 65 is 130.