Least Common Multiple of 2382 and 2389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2382 and 2389 the smallest integer that is 5690598 that is divisible by both numbers.

Least Common Multiple (LCM) of 2382 and 2389 is 5690598.

LCM(2382,2389) = 5690598

LCM of 2382 and 2389

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

LCM of:
and

Least Common Multiple of 2382 and 2389

LCM of 2382 and 2389 is 5690598

Least common multiple can be found by multiplying the highest exponent prime factors of 2382 and 2389. First we will calculate the prime factors of 2382 and 2389.

Prime Factorization of 2382


2 2382
3 1191
397 397
1

Prime factors of 2382 are 2, 3,397. Prime factorization of 2382 in exponential form is:

2382 = 21×31×3971

Prime Factorization of 2389


2389 2389
1

Prime factors of 2389 are 2389. Prime factorization of 2389 in exponential form is:

2389 = 23891

Now multiplying the highest exponent prime factors to calculate the LCM of 2382 and 2389.

LCM(2382,2389) = 21×31×3971×23891
LCM(2382,2389) = 5690598

Factors of 2382

List of positive integer factors of 2382 that divides 2382 without a remainder.

1, 2, 3, 6, 397, 794, 1191, 2382

Factors of 2389

List of positive integer factors of 2389 that divides 2389 without a remainder.

1, 2389

Least Common Multiple of 2382 and 2389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2382 and 2389, than apply into the LCM equation.

GCF(2382,2389) = 1
LCM(2382,2389) = ( 2382 × 2389) / 1
LCM(2382,2389) = 5690598 / 1
LCM(2382,2389) = 5690598

Properties of LCM 2382 and 2389

(i) The LCM of 2389 and 2382 is associative

LCM of 2382 and 2389 = LCM of 2389 and 2382

Related Least Common Multiples of 2382

Related Least Common Multiples of 2389

Frequently Asked Questions on LCM of 2382 and 2389

1. What is the LCM of 2382 and 2389?

Answer: LCM of 2382 and 2389 is 5690598.

2. What are the Factors of 2382?

Answer: Factors of 2382 are 1, 2, 3, 6, 397, 794, 1191, 2382. There are 8 integers that are factors of 2382. The greatest factor of 2382 is 2382.

3. What are the Factors of 2389?

Answer: Factors of 2389 are 1, 2389. There are 2 integers that are factors of 2389. The greatest factor of 2389 is 2389.

4. How to Find the LCM of 2382 and 2389?

Answer:

Least Common Multiple of 2382 and 2389 = 5690598

Step 1: Find the prime factorization of 2382

2382 = 2 x 3 x 397

Step 2: Find the prime factorization of 2389

2389 = 2389

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

LCM = 5690598 = 2 x 3 x 397 x 2389

Step 4: Therefore, the least common multiple of 2382 and 2389 is 5690598.