Least Common Multiple of 2538 and 2539

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 2539 the smallest integer that is 6443982 that is divisible by both numbers.

Least Common Multiple (LCM) of 2538 and 2539 is 6443982.

LCM(2538,2539) = 6443982

LCM of 2538 and 2539

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

LCM of:
and

Least Common Multiple of 2538 and 2539

LCM of 2538 and 2539 is 6443982

Least common multiple can be found by multiplying the highest exponent prime factors of 2538 and 2539. First we will calculate the prime factors of 2538 and 2539.

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 2539


2539 2539
1

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

2539 = 25391

Now multiplying the highest exponent prime factors to calculate the LCM of 2538 and 2539.

LCM(2538,2539) = 21×33×471×25391
LCM(2538,2539) = 6443982

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 2539

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

1, 2539

Least Common Multiple of 2538 and 2539 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 2539, than apply into the LCM equation.

GCF(2538,2539) = 1
LCM(2538,2539) = ( 2538 × 2539) / 1
LCM(2538,2539) = 6443982 / 1
LCM(2538,2539) = 6443982

Properties of LCM 2538 and 2539

(i) The LCM of 2539 and 2538 is associative

LCM of 2538 and 2539 = LCM of 2539 and 2538

Related Least Common Multiples of 2538

Related Least Common Multiples of 2539

Frequently Asked Questions on LCM of 2538 and 2539

1. What is the LCM of 2538 and 2539?

Answer: LCM of 2538 and 2539 is 6443982.

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 2539?

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

4. How to Find the LCM of 2538 and 2539?

Answer:

Least Common Multiple of 2538 and 2539 = 6443982

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 2539

2539 = 2539

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

LCM = 6443982 = 2 x 3 x 3 x 3 x 47 x 2539

Step 4: Therefore, the least common multiple of 2538 and 2539 is 6443982.