Least Common Multiple of 2389 and 2393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2389 and 2393 the smallest integer that is 5716877 that is divisible by both numbers.

Least Common Multiple (LCM) of 2389 and 2393 is 5716877.

LCM(2389,2393) = 5716877

LCM of 2389 and 2393

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

LCM of:
and

Least Common Multiple of 2389 and 2393

LCM of 2389 and 2393 is 5716877

Least common multiple can be found by multiplying the highest exponent prime factors of 2389 and 2393. First we will calculate the prime factors of 2389 and 2393.

Prime Factorization of 2389


2389 2389
1

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

2389 = 23891

Prime Factorization of 2393


2393 2393
1

Prime factors of 2393 are 2393. Prime factorization of 2393 in exponential form is:

2393 = 23931

Now multiplying the highest exponent prime factors to calculate the LCM of 2389 and 2393.

LCM(2389,2393) = 23891×23931
LCM(2389,2393) = 5716877

Factors of 2389

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

1, 2389

Factors of 2393

List of positive integer factors of 2393 that divides 2393 without a remainder.

1, 2393

Least Common Multiple of 2389 and 2393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2389 and 2393, than apply into the LCM equation.

GCF(2389,2393) = 1
LCM(2389,2393) = ( 2389 × 2393) / 1
LCM(2389,2393) = 5716877 / 1
LCM(2389,2393) = 5716877

Properties of LCM 2389 and 2393

(i) The LCM of 2393 and 2389 is associative

LCM of 2389 and 2393 = LCM of 2393 and 2389

Related Least Common Multiples of 2389

Related Least Common Multiples of 2393

Frequently Asked Questions on LCM of 2389 and 2393

1. What is the LCM of 2389 and 2393?

Answer: LCM of 2389 and 2393 is 5716877.

2. 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.

3. What are the Factors of 2393?

Answer: Factors of 2393 are 1, 2393. There are 2 integers that are factors of 2393. The greatest factor of 2393 is 2393.

4. How to Find the LCM of 2389 and 2393?

Answer:

Least Common Multiple of 2389 and 2393 = 5716877

Step 1: Find the prime factorization of 2389

2389 = 2389

Step 2: Find the prime factorization of 2393

2393 = 2393

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

LCM = 5716877 = 2389 x 2393

Step 4: Therefore, the least common multiple of 2389 and 2393 is 5716877.