Least Common Multiple of 9382 and 9389

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 9389 the smallest integer that is 88087598 that is divisible by both numbers.

Least Common Multiple (LCM) of 9382 and 9389 is 88087598.

LCM(9382,9389) = 88087598

LCM of 9382 and 9389

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

LCM of:
and

Least Common Multiple of 9382 and 9389

LCM of 9382 and 9389 is 88087598

Least common multiple can be found by multiplying the highest exponent prime factors of 9382 and 9389. First we will calculate the prime factors of 9382 and 9389.

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 9389


41 9389
229 229
1

Prime factors of 9389 are 41,229. Prime factorization of 9389 in exponential form is:

9389 = 411×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 9382 and 9389.

LCM(9382,9389) = 21×411×2291×46911
LCM(9382,9389) = 88087598

Factors of 9382

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

1, 2, 4691, 9382

Factors of 9389

List of positive integer factors of 9389 that divides 9389 without a remainder.

1, 41, 229, 9389

Least Common Multiple of 9382 and 9389 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 9389, than apply into the LCM equation.

GCF(9382,9389) = 1
LCM(9382,9389) = ( 9382 × 9389) / 1
LCM(9382,9389) = 88087598 / 1
LCM(9382,9389) = 88087598

Properties of LCM 9382 and 9389

(i) The LCM of 9389 and 9382 is associative

LCM of 9382 and 9389 = LCM of 9389 and 9382

Related Least Common Multiples of 9382

Related Least Common Multiples of 9389

Frequently Asked Questions on LCM of 9382 and 9389

1. What is the LCM of 9382 and 9389?

Answer: LCM of 9382 and 9389 is 88087598.

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 9389?

Answer: Factors of 9389 are 1, 41, 229, 9389. There are 4 integers that are factors of 9389. The greatest factor of 9389 is 9389.

4. How to Find the LCM of 9382 and 9389?

Answer:

Least Common Multiple of 9382 and 9389 = 88087598

Step 1: Find the prime factorization of 9382

9382 = 2 x 4691

Step 2: Find the prime factorization of 9389

9389 = 41 x 229

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

LCM = 88087598 = 2 x 41 x 229 x 4691

Step 4: Therefore, the least common multiple of 9382 and 9389 is 88087598.