Question

find the LCM of the following numbers by prime factorization method 27 and 81

Answer 1

Answer:

81

Step-by-step explanation:

LCM is least common multiple of 27 and 81 is 81.

The prime factorization of 27 is: 3 x 3 x 3.

The prime factorization of 81 is: 3 x 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(27,27) = 81

Answer 2

Given : find the LCM of the following numbers by prime factorization method 27 and 81.

= 27 = 3 × 3 × 3

= 27 = 33

= 81 = 3 × 3 × 3 × 3

= 81 = 34

= LCM = 3 × 3 × 3 × 3

= LCM = 81

Therefore, LCM of 27 and 81 is 81.