Least Common Multiple of 9381 and 9388

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 9388 the smallest integer that is 88068828 that is divisible by both numbers.

Least Common Multiple (LCM) of 9381 and 9388 is 88068828.

LCM(9381,9388) = 88068828

LCM of 9381 and 9388

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

LCM of:
and

Least Common Multiple of 9381 and 9388

LCM of 9381 and 9388 is 88068828

Least common multiple can be found by multiplying the highest exponent prime factors of 9381 and 9388. First we will calculate the prime factors of 9381 and 9388.

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 9388


2 9388
2 4694
2347 2347
1

Prime factors of 9388 are 2,2347. Prime factorization of 9388 in exponential form is:

9388 = 22×23471

Now multiplying the highest exponent prime factors to calculate the LCM of 9381 and 9388.

LCM(9381,9388) = 22×31×531×591×23471
LCM(9381,9388) = 88068828

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 9388

List of positive integer factors of 9388 that divides 9388 without a remainder.

1, 2, 4, 2347, 4694, 9388

Least Common Multiple of 9381 and 9388 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 9388, than apply into the LCM equation.

GCF(9381,9388) = 1
LCM(9381,9388) = ( 9381 × 9388) / 1
LCM(9381,9388) = 88068828 / 1
LCM(9381,9388) = 88068828

Properties of LCM 9381 and 9388

(i) The LCM of 9388 and 9381 is associative

LCM of 9381 and 9388 = LCM of 9388 and 9381

Related Least Common Multiples of 9381

Related Least Common Multiples of 9388

Frequently Asked Questions on LCM of 9381 and 9388

1. What is the LCM of 9381 and 9388?

Answer: LCM of 9381 and 9388 is 88068828.

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 9388?

Answer: Factors of 9388 are 1, 2, 4, 2347, 4694, 9388. There are 6 integers that are factors of 9388. The greatest factor of 9388 is 9388.

4. How to Find the LCM of 9381 and 9388?

Answer:

Least Common Multiple of 9381 and 9388 = 88068828

Step 1: Find the prime factorization of 9381

9381 = 3 x 53 x 59

Step 2: Find the prime factorization of 9388

9388 = 2 x 2 x 2347

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

LCM = 88068828 = 2 x 2 x 3 x 53 x 59 x 2347

Step 4: Therefore, the least common multiple of 9381 and 9388 is 88068828.