Question

LCM of 2805 and 5355 . ​

Answer 1

Answer:

LCM = 58,905

Step-by-step explanation:

List all prime factors for each number.

Prime Factorization of 2805 is:

3 x 5 x 11 x 17  =>  31 x 51 x 111 x 171

Prime Factorization of 5355 is:

3 x 3 x 5 x 7 x 17  =>  32 x 51 x 71 x 171

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

3, 3, 5, 7, 11, 17

Multiply these factors together to find the LCM.

LCM = 3 x 3 x 5 x 7 x 11 x 17 = 58905

In exponential form:

LCM = 32 x 51 x 71 x 111 x 171 = 58905

LCM = 58905

Therefore,

LCM(2805, 5355) = 58,905