Question

Find the LCM of the given numbers 9,27

you'll get 50 points if you answer

Answer 1

27

Explanation:

Using Prime Factorization:

The Prime Factorization of 9 is:
`9=3^2`

The Prime Factorization of 27 is:
`27=3^3`

Using the highest factorization, the LCM is 27.

`LCM(9,27)=3^3 = 27`

Using the GCF Formula:

LCM(a,b) = ( a × b) / GCF(a,b)

GCF(9,27) = 9

LCM(9,27) = ( 9 × 27) / 9

LCM(9,27) = 243 / 9

LCM(9,27) = 27

Answer 2

27

Explanation:

Alternatively, the lcm of 9 and 27 can be found using the prime factorization of 9 and 27: The prime factorization of 9 is: 3 x 3. The prime factorization of 27 is: 3 x 3 x 3. Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(9,9) = 27.