Least Common Multiple of 9382 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 9382 and 9388 the smallest integer that is 44039108 that is divisible by both numbers.

Least Common Multiple (LCM) of 9382 and 9388 is 44039108.

LCM(9382,9388) = 44039108

LCM of 9382 and 9388

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

LCM of:
and

Least Common Multiple of 9382 and 9388

LCM of 9382 and 9388 is 44039108

Least common multiple can be found by multiplying the highest exponent prime factors of 9382 and 9388. First we will calculate the prime factors of 9382 and 9388.

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

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 9382 and 9388.

LCM(9382,9388) = 22×23471×46911
LCM(9382,9388) = 44039108

Factors of 9382

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

1, 2, 4691, 9382

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 9382 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 9382 and 9388, than apply into the LCM equation.

GCF(9382,9388) = 2
LCM(9382,9388) = ( 9382 × 9388) / 2
LCM(9382,9388) = 88078216 / 2
LCM(9382,9388) = 44039108

Properties of LCM 9382 and 9388

(i) The LCM of 9388 and 9382 is associative

LCM of 9382 and 9388 = LCM of 9388 and 9382

Related Least Common Multiples of 9382

Related Least Common Multiples of 9388

Frequently Asked Questions on LCM of 9382 and 9388

1. What is the LCM of 9382 and 9388?

Answer: LCM of 9382 and 9388 is 44039108.

2. 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.

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 9382 and 9388?

Answer:

Least Common Multiple of 9382 and 9388 = 44039108

Step 1: Find the prime factorization of 9382

9382 = 2 x 4691

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 = 44039108 = 2 x 2 x 2347 x 4691

Step 4: Therefore, the least common multiple of 9382 and 9388 is 44039108.