This is confusingly written. I think that someone wants you to learn the fact that the product of two numbers is equal to the product of their LCM and GCF.
Example: 6 and 8
GCF = 2
LCM = 24
6 x 8 = 48
2 x 24 = 48
So 22 x 23 = 506
If the GCF is 2, then the LCM is 253. But the GCF of 22 and 23 isn't 2. And 253 isn't a multiple of 22 or 23. And 22 and 23 wouldn't be the factors of two numbers. This may not have been copied correctly.
Gcf you use when you are finding the greatest factor for the numbers. Lcm you use when you are finding the smallest multiple in the numbers factors
If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.
The LCM of two numbers will never be less than the GCF.
The factors of 10 are:1, 2, 5, 10The factors of 30 are:1, 2, 3, 5, 6, 10, 15, 30The common factors are:1, 2, 5, 10The Greatest Common Factor (GCF) is:10
The product of the GCF and the LCM is the same as the product of the original two numbers. Divide the product of the original numbers by the GCF. The result will be the LCM.
Gcf you use when you are finding the greatest factor for the numbers. Lcm you use when you are finding the smallest multiple in the numbers factors
If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.
Factors go into numbers, numbers go into multiples. Multiples are bigger than factors.
The LCM of two numbers will never be less than the GCF.
The LCM will never be less than the GCF of a set of numbers.
The GCF of two numbers multiplied by their LCM will equal the product of the original numbers. If you know the GCF, divide it into the product of the two. The result will be the LCM. If the GCF of two numbers is 1, the LCM is their product.
The factors of 10 are:1, 2, 5, 10The factors of 30 are:1, 2, 3, 5, 6, 10, 15, 30The common factors are:1, 2, 5, 10The Greatest Common Factor (GCF) is:10
The product of the GCF and the LCM is the same as the product of the original two numbers. Divide the product of the original numbers by the GCF. The result will be the LCM.
The product of the GCF and LCM of a pair of numbers is equal to the product of the 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.
By finding their common prime numbers.
The prime factorization of the LCM will contain all the prime factors of the two original numbers. When the original numbers don't have any prime factors in common, (the GCF is 1) the LCM will be their product. When the two original numbers have prime factors in common (the GCF is 2 or more) the duplicates will be discarded and the LCM will be less than their product.