30 = 2*3*5
42 = 2*3*7
70 = 2*5*7
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.
The product of the prime numbers less than 100 is 2.3055679639455188e+36
The prime factors of 1955 are 5, 17, and 23. 5 x 17 x 23 = 1955
Composite numbers can be written that way.
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.
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.
If none of the prime factors are in common, the LCM will be the product of the two.
As a product of its prime factors: 5*17*23 = 1955
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.
The product of the prime numbers less than 100 is 2.3055679639455188e+36
The prime factors of 1955 are 5, 17, and 23. 5 x 17 x 23 = 1955
When their GCF is greater than 1. When they have prime factors in common.
Composite numbers can be written that way.
No
Prime numbers
The set of prime factors of the numbers from 1 to 15,000 would be the set of prime numbers between 1 and 15,000. The link below has a list of the first 10,000 prime numbers, so if you take the primes less than 15,000, you will have the set of prime factors of the first 15,000 numbers. For prime factors of individual numbers, check the related question, "What are the prime factors of the numbers from 1 to 200?" Also check for WikiAnswers questions in the form of "What are the prime factors of __?" and "What are the factors and prime factors of __?"
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.