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When can the LCM of two numbers be the product of the two numbers?
When the numbers are co-prime.
What is the greatest common factor when LCM of two numbers is the product of two numbers?
The LCM is the product of the two numbers if and only if the two numbers are co-prime. That they are co-prime means they have no factors in common so that their GCF is 1.
What are two numbers LCM of one?
They are co-prime, like 36 and 37.
How would you explain the LCM of the two numbers is their product?
The LCM of two numbers is their product if and only if the two numbers are co prime, that is their HCF is 1. Otherwise their LCM in not their product, in fact, it is their product divided by their HCF.
Is it true that the LCM of 2 numbers is the product of the 2 numbers?
Only if the numbers are co-prime.
When can the LCM of two numbers be the product of the two numbers?
When the numbers are co-prime.
What is the greatest common factor when LCM of two numbers is the product of two numbers?
The LCM is the product of the two numbers if and only if the two numbers are co-prime. That they are co-prime means they have no factors in common so that their GCF is 1.
What are two numbers LCM of one?
They are co-prime, like 36 and 37.
Is LCM of a co-prime number is the product of number itself?
You cannot have a co-prime number. There must be two or more number that are co-prime. Therefore, as given, the question makes no sense. A correct interpretation is: "Is the LCM of a set of co-prime numbers the product of the numbers themselves?" The answer to that question is: NO.For example, the numbers {6, 10, 15} are co-prime since there is no integer (other than 1) which will divide all three. Their LCM is 30 whereas their product is 900.The product is the square of the LCM is because the selected numbers are semi-primes. In general, that does not happen for sets of co-prime numbers.
How would you explain the LCM of the two numbers is their product?
The LCM of two numbers is their product if and only if the two numbers are co prime, that is their HCF is 1. Otherwise their LCM in not their product, in fact, it is their product divided by their HCF.
Why is the LCM also the product of a pair?
Sometimes it is, sometimes it isn't. If the two numbers have a GCF of 1, they are co-prime or relatively prime and their LCM will be their product.
What type of numbers can you multiply to always find the LCM?
prime numbers, co-prime numbers
What are 2 numbers that have the LCM of no common factors that are greater than one?
Two numbers that have no common factors greater than one are considered co-prime or relatively prime. Their LCM is their product.
What is it called when the product of a pair of numbers is the LCM also?
The numbers are relatively prime, or co-prime.
Is it true that the LCM of 2 numbers is the product of the 2 numbers?
Only if the numbers are co-prime.
When a number is a multiple of another the greatest common factor of the numbers is the greater of the numbers?
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).
What are the Least common multiples of 4 37 69?
There can only be one LEAST Common Multiple. Since the three numbers are co-prime, their LCM is the same as their product, that is, LCM(4, 37, 69) = 4 * 37 * 69 = 10,212 [Two numbers are co-prime if they have no factor in common. The numbers, themselves, need not be prime.]
