Least Common Multiple of 9375 and 9381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9375 and 9381 the smallest integer that is 29315625 that is divisible by both numbers.

Least Common Multiple (LCM) of 9375 and 9381 is 29315625.

LCM(9375,9381) = 29315625

LCM of 9375 and 9381

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

LCM of:
and

Least Common Multiple of 9375 and 9381

LCM of 9375 and 9381 is 29315625

Least common multiple can be found by multiplying the highest exponent prime factors of 9375 and 9381. First we will calculate the prime factors of 9375 and 9381.

Prime Factorization of 9375


3 9375
5 3125
5 625
5 125
5 25
5 5
1

Prime factors of 9375 are 3,5. Prime factorization of 9375 in exponential form is:

9375 = 31×55

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9375 and 9381.

LCM(9375,9381) = 31×55×531×591
LCM(9375,9381) = 29315625

Factors of 9375

List of positive integer factors of 9375 that divides 9375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375

Factors of 9381

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

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

Least Common Multiple of 9375 and 9381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9375 and 9381, than apply into the LCM equation.

GCF(9375,9381) = 3
LCM(9375,9381) = ( 9375 × 9381) / 3
LCM(9375,9381) = 87946875 / 3
LCM(9375,9381) = 29315625

Properties of LCM 9375 and 9381

(i) The LCM of 9381 and 9375 is associative

LCM of 9375 and 9381 = LCM of 9381 and 9375

Related Least Common Multiples of 9375

Related Least Common Multiples of 9381

Frequently Asked Questions on LCM of 9375 and 9381

1. What is the LCM of 9375 and 9381?

Answer: LCM of 9375 and 9381 is 29315625.

2. What are the Factors of 9375?

Answer: Factors of 9375 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375. There are 12 integers that are factors of 9375. The greatest factor of 9375 is 9375.

3. 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.

4. How to Find the LCM of 9375 and 9381?

Answer:

Least Common Multiple of 9375 and 9381 = 29315625

Step 1: Find the prime factorization of 9375

9375 = 3 x 5 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 9381

9381 = 3 x 53 x 59

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

LCM = 29315625 = 3 x 5 x 5 x 5 x 5 x 5 x 53 x 59

Step 4: Therefore, the least common multiple of 9375 and 9381 is 29315625.