Least Common Multiple of 9381 and 9384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9381 and 9384 the smallest integer that is 29343768 that is divisible by both numbers.

Least Common Multiple (LCM) of 9381 and 9384 is 29343768.

LCM(9381,9384) = 29343768

LCM of 9381 and 9384

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9381 and 9384

LCM of 9381 and 9384 is 29343768

Least common multiple can be found by multiplying the highest exponent prime factors of 9381 and 9384. First we will calculate the prime factors of 9381 and 9384.

Prime Factorization of 9381


3 9381
53 3127
59 59
1

Prime factors of 9381 are 3, 53,59. Prime factorization of 9381 in exponential form is:

9381 = 31×531×591

Prime Factorization of 9384


2 9384
2 4692
2 2346
3 1173
17 391
23 23
1

Prime factors of 9384 are 2, 3, 17,23. Prime factorization of 9384 in exponential form is:

9384 = 23×31×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 9381 and 9384.

LCM(9381,9384) = 23×31×171×231×531×591
LCM(9381,9384) = 29343768

Factors of 9381

List of positive integer factors of 9381 that divides 9381 without a remainder.

1, 3, 53, 59, 159, 177, 3127, 9381

Factors of 9384

List of positive integer factors of 9384 that divides 9384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 23, 24, 34, 46, 51, 68, 69, 92, 102, 136, 138, 184, 204, 276, 391, 408, 552, 782, 1173, 1564, 2346, 3128, 4692, 9384

Least Common Multiple of 9381 and 9384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9381 and 9384, than apply into the LCM equation.

GCF(9381,9384) = 3
LCM(9381,9384) = ( 9381 × 9384) / 3
LCM(9381,9384) = 88031304 / 3
LCM(9381,9384) = 29343768

Properties of LCM 9381 and 9384

(i) The LCM of 9384 and 9381 is associative

LCM of 9381 and 9384 = LCM of 9384 and 9381

Related Least Common Multiples of 9381

Related Least Common Multiples of 9384

Frequently Asked Questions on LCM of 9381 and 9384

1. What is the LCM of 9381 and 9384?

Answer: LCM of 9381 and 9384 is 29343768.

2. What are the Factors of 9381?

Answer: Factors of 9381 are 1, 3, 53, 59, 159, 177, 3127, 9381. There are 8 integers that are factors of 9381. The greatest factor of 9381 is 9381.

3. What are the Factors of 9384?

Answer: Factors of 9384 are 1, 2, 3, 4, 6, 8, 12, 17, 23, 24, 34, 46, 51, 68, 69, 92, 102, 136, 138, 184, 204, 276, 391, 408, 552, 782, 1173, 1564, 2346, 3128, 4692, 9384. There are 32 integers that are factors of 9384. The greatest factor of 9384 is 9384.

4. How to Find the LCM of 9381 and 9384?

Answer:

Least Common Multiple of 9381 and 9384 = 29343768

Step 1: Find the prime factorization of 9381

9381 = 3 x 53 x 59

Step 2: Find the prime factorization of 9384

9384 = 2 x 2 x 2 x 3 x 17 x 23

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 29343768 = 2 x 2 x 2 x 3 x 17 x 23 x 53 x 59

Step 4: Therefore, the least common multiple of 9381 and 9384 is 29343768.