Least Common Multiple of 2539 and 2543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2539 and 2543 the smallest integer that is 6456677 that is divisible by both numbers.

Least Common Multiple (LCM) of 2539 and 2543 is 6456677.

LCM(2539,2543) = 6456677

LCM of 2539 and 2543

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

LCM of:
and

Least Common Multiple of 2539 and 2543

LCM of 2539 and 2543 is 6456677

Least common multiple can be found by multiplying the highest exponent prime factors of 2539 and 2543. First we will calculate the prime factors of 2539 and 2543.

Prime Factorization of 2539


2539 2539
1

Prime factors of 2539 are 2539. Prime factorization of 2539 in exponential form is:

2539 = 25391

Prime Factorization of 2543


2543 2543
1

Prime factors of 2543 are 2543. Prime factorization of 2543 in exponential form is:

2543 = 25431

Now multiplying the highest exponent prime factors to calculate the LCM of 2539 and 2543.

LCM(2539,2543) = 25391×25431
LCM(2539,2543) = 6456677

Factors of 2539

List of positive integer factors of 2539 that divides 2539 without a remainder.

1, 2539

Factors of 2543

List of positive integer factors of 2543 that divides 2543 without a remainder.

1, 2543

Least Common Multiple of 2539 and 2543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2539 and 2543, than apply into the LCM equation.

GCF(2539,2543) = 1
LCM(2539,2543) = ( 2539 × 2543) / 1
LCM(2539,2543) = 6456677 / 1
LCM(2539,2543) = 6456677

Properties of LCM 2539 and 2543

(i) The LCM of 2543 and 2539 is associative

LCM of 2539 and 2543 = LCM of 2543 and 2539

Related Least Common Multiples of 2539

Related Least Common Multiples of 2543

Frequently Asked Questions on LCM of 2539 and 2543

1. What is the LCM of 2539 and 2543?

Answer: LCM of 2539 and 2543 is 6456677.

2. What are the Factors of 2539?

Answer: Factors of 2539 are 1, 2539. There are 2 integers that are factors of 2539. The greatest factor of 2539 is 2539.

3. What are the Factors of 2543?

Answer: Factors of 2543 are 1, 2543. There are 2 integers that are factors of 2543. The greatest factor of 2543 is 2543.

4. How to Find the LCM of 2539 and 2543?

Answer:

Least Common Multiple of 2539 and 2543 = 6456677

Step 1: Find the prime factorization of 2539

2539 = 2539

Step 2: Find the prime factorization of 2543

2543 = 2543

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

LCM = 6456677 = 2539 x 2543

Step 4: Therefore, the least common multiple of 2539 and 2543 is 6456677.