Pairs with common factors other than 1.
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.
4 and 9 7 and 8
The LCM for any pair of natural numbers can be as big as their product.
The LCM of two numbers will never be less than the GCF.
The LCM is their product. The LCM of 27 and 35 is 945.
When their GCF is greater than 1. When they have prime factors in common.
If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.
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.
4 and 6 6 and 8 Any time the two numbers have a common factor, their LCM will be less than the product because the common factor contributes to the LCM fewer times than it contributes to the product.
If the two numbers have no common factors other than 1, the LCM will be their product. If there are other common factors, the LCM will be less.
By finding out whether they have any factors in common. If the only factor they have in common is 1, the LCM will be their product. If they have more factors in common, their LCM will be less than their product.
4 and 9 7 and 8
The LCM of 4 and 6 is 12.
Given any number, there is an even number that exists greater than it. That even number is a product: of 2 and some number. Therefore, the number that you started with is less than the product of a pair of numbers.
Sometimes.
7 and 11, 9 and 10
The LCM for any pair of natural numbers can be as big as their product.