Least Common Multiple of 2381 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 2381 and 2389 the smallest integer that is 5688209 that is divisible by both numbers.

Least Common Multiple (LCM) of 2381 and 2389 is 5688209.

LCM(2381,2389) = 5688209

LCM of 2381 and 2389

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

LCM of:
and

Least Common Multiple of 2381 and 2389

LCM of 2381 and 2389 is 5688209

Least common multiple can be found by multiplying the highest exponent prime factors of 2381 and 2389. First we will calculate the prime factors of 2381 and 2389.

Prime Factorization of 2381


2381 2381
1

Prime factors of 2381 are 2381. Prime factorization of 2381 in exponential form is:

2381 = 23811

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 2381 and 2389.

LCM(2381,2389) = 23811×23891
LCM(2381,2389) = 5688209

Factors of 2381

List of positive integer factors of 2381 that divides 2381 without a remainder.

1, 2381

Factors of 2389

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

1, 2389

Least Common Multiple of 2381 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 2381 and 2389, than apply into the LCM equation.

GCF(2381,2389) = 1
LCM(2381,2389) = ( 2381 × 2389) / 1
LCM(2381,2389) = 5688209 / 1
LCM(2381,2389) = 5688209

Properties of LCM 2381 and 2389

(i) The LCM of 2389 and 2381 is associative

LCM of 2381 and 2389 = LCM of 2389 and 2381

Related Least Common Multiples of 2381

Related Least Common Multiples of 2389

Frequently Asked Questions on LCM of 2381 and 2389

1. What is the LCM of 2381 and 2389?

Answer: LCM of 2381 and 2389 is 5688209.

2. What are the Factors of 2381?

Answer: Factors of 2381 are 1, 2381. There are 2 integers that are factors of 2381. The greatest factor of 2381 is 2381.

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 2381 and 2389?

Answer:

Least Common Multiple of 2381 and 2389 = 5688209

Step 1: Find the prime factorization of 2381

2381 = 2381

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 = 5688209 = 2381 x 2389

Step 4: Therefore, the least common multiple of 2381 and 2389 is 5688209.