Least Common Multiple of 9381 and 9385

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 9385 the smallest integer that is 88040685 that is divisible by both numbers.

Least Common Multiple (LCM) of 9381 and 9385 is 88040685.

LCM(9381,9385) = 88040685

LCM of 9381 and 9385

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

LCM of:
and

Least Common Multiple of 9381 and 9385

LCM of 9381 and 9385 is 88040685

Least common multiple can be found by multiplying the highest exponent prime factors of 9381 and 9385. First we will calculate the prime factors of 9381 and 9385.

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 9385


5 9385
1877 1877
1

Prime factors of 9385 are 5,1877. Prime factorization of 9385 in exponential form is:

9385 = 51×18771

Now multiplying the highest exponent prime factors to calculate the LCM of 9381 and 9385.

LCM(9381,9385) = 31×51×531×591×18771
LCM(9381,9385) = 88040685

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 9385

List of positive integer factors of 9385 that divides 9385 without a remainder.

1, 5, 1877, 9385

Least Common Multiple of 9381 and 9385 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 9385, than apply into the LCM equation.

GCF(9381,9385) = 1
LCM(9381,9385) = ( 9381 × 9385) / 1
LCM(9381,9385) = 88040685 / 1
LCM(9381,9385) = 88040685

Properties of LCM 9381 and 9385

(i) The LCM of 9385 and 9381 is associative

LCM of 9381 and 9385 = LCM of 9385 and 9381

Related Least Common Multiples of 9381

Related Least Common Multiples of 9385

Frequently Asked Questions on LCM of 9381 and 9385

1. What is the LCM of 9381 and 9385?

Answer: LCM of 9381 and 9385 is 88040685.

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 9385?

Answer: Factors of 9385 are 1, 5, 1877, 9385. There are 4 integers that are factors of 9385. The greatest factor of 9385 is 9385.

4. How to Find the LCM of 9381 and 9385?

Answer:

Least Common Multiple of 9381 and 9385 = 88040685

Step 1: Find the prime factorization of 9381

9381 = 3 x 53 x 59

Step 2: Find the prime factorization of 9385

9385 = 5 x 1877

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

LCM = 88040685 = 3 x 5 x 53 x 59 x 1877

Step 4: Therefore, the least common multiple of 9381 and 9385 is 88040685.