Example:30 and 42
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Combine the factors, eliminating duplicates.
2 x 3 x 5 x 7 = 210, the LCM
Multiply 210 by successive counting numbers to get more multiples.
210 x 1 = 210
210 x 2 = 420
210 x 3 = 630 and so on.
The greatest common multiple is an infinite amount and cannot be factored.
Once your prime factorization is complete and you discover that there are no numbers in common, the GCF is one and the numbers are declared to be relatively prime.
If your numbers have no prime factors in common, they are relatively prime.
21 and 6 are two composite numbers that have 42 as a common multiple. One of the prime factors of 42, which is 3, is a prime factor of 21 and 6 as well. The prime factorization of 42 (2 x 3 x 7) includes the prime factorization of 21 (3 x 7) and 6 (2 x 3).
Prime Factorization: 2,2,2,3,3,5,5,17 The factors are all multiple combinations of these numbers.
If the prime factorizations have no factors in common, the LCM is the product of them.
The greatest common multiple is an infinite amount and cannot be factored.
Prime factorization tells you what prime numbers multiply to get the number. You can see which numbers that number is divisible by to get the multiples and factors.
Prime factorization.
The LCM of these numbers is 740. LCM is Least Common Multiple.
Since the number 10 has the prime factorization of 2 x 5, any multiple of 10 has the numbers 2 and 5 in their prime factorization.
You need at least two numbers to find an LCM.
5 c
Once your prime factorization is complete and you discover that there are no numbers in common, the GCF is one and the numbers are declared to be relatively prime.
There is not a least common multiple of a single number, such as 130, because there cannot be a least common multiple without two or more numbers to compare. Common multiples are multiples that the numbers being compared have in common. The least common multiple is the smallest multiple that all the numbers being compared have in common.
If the two numbers have no common prime factors, the LCM will be the product of the numbers.
The LCM of 36 and 63 is 252. To find the LCM, find the prime factorization of both numbers. The prime factorization of 36 is 3*3*2*2 The prime factorization of 63 is 3*3*7 3*3*2*2*7=252