Question

find the LCM by prime factorization method 21,27 and 105​

Answer 1

Answer:

Least common multiple can be found by multiplying the highest exponent prime factors of 21 and 24. First we will calculate the prime factors of 21 and 24.

Prime Factorization of 21

3 21

7 7

1

Prime factors of 21 are 3,7. Prime factorization of 21 in exponential form is:

21 = 31×71

Prime Factorization of 24

2 24

2 12

2 6

3 3

1

Prime factors of 24 are 2,3. Prime factorization of 24 in exponential form is:

24 = 23×31

Now multiplying the highest exponent prime factors to calculate the LCM of 21 and 24.

LCM(21,24) = 23×31×71

LCM(21,24) = 168