Draw the prime factorization table and put both the numbers on it.
Find common prime factors and divide both of them writing the products down.
Do this until the quotients are either 1 or any prime number.
Write down all the factors used and it will be the prime factorization.
Multiply them and you will find the LCM of the numbers.
Here,
18,21
6,7...................(/3)
Prime factorization=6*7*3
LCM=42*3=126
Chat with our AI personalities
The prime factorization of 21 is 3 x 7.
In actual fact, the prime factorization of 42 is not 21 x 2, as 21 is not a prime number. The complete prime factorization of 42 is 2 x 3 x 7.
No, prime factorization of 42 is not 21 x 2 because 21 is not a prime number and it can be further broken into primes as 3 x 7. So prime factorization of 42 is 2 x 3 x 7.
21 x 33
The number 3 is prime and has only one factor. 3 = 31 A better example of exponents in factoring would be a composite number such as 18: 18 = 2 x 3 x 3 18 = 21 x 32