Least Common Multiple of 9375 and 9382

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 9382 the smallest integer that is 87956250 that is divisible by both numbers.

Least Common Multiple (LCM) of 9375 and 9382 is 87956250.

LCM(9375,9382) = 87956250

LCM of 9375 and 9382

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

LCM of:
and

Least Common Multiple of 9375 and 9382

LCM of 9375 and 9382 is 87956250

Least common multiple can be found by multiplying the highest exponent prime factors of 9375 and 9382. First we will calculate the prime factors of 9375 and 9382.

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 9382


2 9382
4691 4691
1

Prime factors of 9382 are 2,4691. Prime factorization of 9382 in exponential form is:

9382 = 21×46911

Now multiplying the highest exponent prime factors to calculate the LCM of 9375 and 9382.

LCM(9375,9382) = 21×31×55×46911
LCM(9375,9382) = 87956250

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 9382

List of positive integer factors of 9382 that divides 9382 without a remainder.

1, 2, 4691, 9382

Least Common Multiple of 9375 and 9382 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 9382, than apply into the LCM equation.

GCF(9375,9382) = 1
LCM(9375,9382) = ( 9375 × 9382) / 1
LCM(9375,9382) = 87956250 / 1
LCM(9375,9382) = 87956250

Properties of LCM 9375 and 9382

(i) The LCM of 9382 and 9375 is associative

LCM of 9375 and 9382 = LCM of 9382 and 9375

Related Least Common Multiples of 9375

Related Least Common Multiples of 9382

Frequently Asked Questions on LCM of 9375 and 9382

1. What is the LCM of 9375 and 9382?

Answer: LCM of 9375 and 9382 is 87956250.

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 9382?

Answer: Factors of 9382 are 1, 2, 4691, 9382. There are 4 integers that are factors of 9382. The greatest factor of 9382 is 9382.

4. How to Find the LCM of 9375 and 9382?

Answer:

Least Common Multiple of 9375 and 9382 = 87956250

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 9382

9382 = 2 x 4691

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

LCM = 87956250 = 2 x 3 x 5 x 5 x 5 x 5 x 5 x 4691

Step 4: Therefore, the least common multiple of 9375 and 9382 is 87956250.