Least Common Multiple of 2538 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 2538 and 2543 the smallest integer that is 6454134 that is divisible by both numbers.

Least Common Multiple (LCM) of 2538 and 2543 is 6454134.

LCM(2538,2543) = 6454134

LCM of 2538 and 2543

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

LCM of:
and

Least Common Multiple of 2538 and 2543

LCM of 2538 and 2543 is 6454134

Least common multiple can be found by multiplying the highest exponent prime factors of 2538 and 2543. First we will calculate the prime factors of 2538 and 2543.

Prime Factorization of 2538


2 2538
3 1269
3 423
3 141
47 47
1

Prime factors of 2538 are 2, 3,47. Prime factorization of 2538 in exponential form is:

2538 = 21×33×471

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 2538 and 2543.

LCM(2538,2543) = 21×33×471×25431
LCM(2538,2543) = 6454134

Factors of 2538

List of positive integer factors of 2538 that divides 2538 without a remainder.

1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269, 2538

Factors of 2543

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

1, 2543

Least Common Multiple of 2538 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 2538 and 2543, than apply into the LCM equation.

GCF(2538,2543) = 1
LCM(2538,2543) = ( 2538 × 2543) / 1
LCM(2538,2543) = 6454134 / 1
LCM(2538,2543) = 6454134

Properties of LCM 2538 and 2543

(i) The LCM of 2543 and 2538 is associative

LCM of 2538 and 2543 = LCM of 2543 and 2538

Related Least Common Multiples of 2538

Related Least Common Multiples of 2543

Frequently Asked Questions on LCM of 2538 and 2543

1. What is the LCM of 2538 and 2543?

Answer: LCM of 2538 and 2543 is 6454134.

2. What are the Factors of 2538?

Answer: Factors of 2538 are 1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269, 2538. There are 16 integers that are factors of 2538. The greatest factor of 2538 is 2538.

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 2538 and 2543?

Answer:

Least Common Multiple of 2538 and 2543 = 6454134

Step 1: Find the prime factorization of 2538

2538 = 2 x 3 x 3 x 3 x 47

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 = 6454134 = 2 x 3 x 3 x 3 x 47 x 2543

Step 4: Therefore, the least common multiple of 2538 and 2543 is 6454134.