Question

LCM of 38 and 16359
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Answer 1

Answer:

The LCM of the two numbers is 32718.

Step-by-step explanation:

For finding the LCM of the above-given two numbers we will first prime factorize them both. Therefore we have,

38 = 2 × 19

16359 = 3 × 7 × 19 × 41

We will take the common factors only once and multiply the rest remaining as follows:

Hence the LCM = 2 × 3 × 7 × 19 × 41 = 32718

Therefore the LCM of the given two numbers is 32718.

Answer 2

Answer:

LCM(38, 16359) = 32,718

Step-by-step explanation:

Solution by Prime Factorization

List all prime factors for each number.

Prime Factorization of 38 is:

2 x 19  =>  21 x 191

Prime Factorization of 16359 is:

3 x 7 x 19 x 41  =>  31 x 71 x 191 x 411

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

2, 3, 7, 19, 41

Multiply these factors together to find the LCM.

LCM = 2 x 3 x 7 x 19 x 41 = 32718

In exponential form:

LCM = 21 x 31 x 71 x 191 x 411 = 32718

LCM = 32718

Therefore,

LCM(38, 16359) = 32,718