4 and 9
7 and 8
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.
Well, well, well, look at you trying to stump me. The prime numbers less than 30 that multiply to 1955 are 5, 13, and 31. Yep, you heard me right, 31 is not less than 30, but it sure is a prime number that gets the job done.
The LCM for any pair of natural numbers can be as big as their product.
The LCM of two consecutive numbers is their product. The LCM of two consecutive multiples of 5 is their product divided by 5. Two consecutive numbers cannot be multiples of 5.
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.
When their GCF is greater than 1. When they have prime factors in common.
The LCM of 4 and 6 is 12.
31
Pairs with common factors other than 1.
All of the composite numbers less than 100 have factor pairs.
Use a factor tree. 1955 391,5 23,17,5
The product of the prime numbers less than 100 is 2.3055679639455188e+36
1/2 and 1/2
They are: 2*37 = 74
They are: 10*12 = 120
If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.