Least Common Multiple of 2530 and 2538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2530 and 2538 the smallest integer that is 3210570 that is divisible by both numbers.

Least Common Multiple (LCM) of 2530 and 2538 is 3210570.

LCM(2530,2538) = 3210570

LCM of 2530 and 2538

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

LCM of:
and

Least Common Multiple of 2530 and 2538

LCM of 2530 and 2538 is 3210570

Least common multiple can be found by multiplying the highest exponent prime factors of 2530 and 2538. First we will calculate the prime factors of 2530 and 2538.

Prime Factorization of 2530


2 2530
5 1265
11 253
23 23
1

Prime factors of 2530 are 2, 5, 11,23. Prime factorization of 2530 in exponential form is:

2530 = 21×51×111×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2530 and 2538.

LCM(2530,2538) = 21×33×51×111×231×471
LCM(2530,2538) = 3210570

Factors of 2530

List of positive integer factors of 2530 that divides 2530 without a remainder.

1, 2, 5, 10, 11, 22, 23, 46, 55, 110, 115, 230, 253, 506, 1265, 2530

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

Least Common Multiple of 2530 and 2538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2530 and 2538, than apply into the LCM equation.

GCF(2530,2538) = 2
LCM(2530,2538) = ( 2530 × 2538) / 2
LCM(2530,2538) = 6421140 / 2
LCM(2530,2538) = 3210570

Properties of LCM 2530 and 2538

(i) The LCM of 2538 and 2530 is associative

LCM of 2530 and 2538 = LCM of 2538 and 2530

Related Least Common Multiples of 2530

Related Least Common Multiples of 2538

Frequently Asked Questions on LCM of 2530 and 2538

1. What is the LCM of 2530 and 2538?

Answer: LCM of 2530 and 2538 is 3210570.

2. What are the Factors of 2530?

Answer: Factors of 2530 are 1, 2, 5, 10, 11, 22, 23, 46, 55, 110, 115, 230, 253, 506, 1265, 2530. There are 16 integers that are factors of 2530. The greatest factor of 2530 is 2530.

3. 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.

4. How to Find the LCM of 2530 and 2538?

Answer:

Least Common Multiple of 2530 and 2538 = 3210570

Step 1: Find the prime factorization of 2530

2530 = 2 x 5 x 11 x 23

Step 2: Find the prime factorization of 2538

2538 = 2 x 3 x 3 x 3 x 47

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

LCM = 3210570 = 2 x 3 x 3 x 3 x 5 x 11 x 23 x 47

Step 4: Therefore, the least common multiple of 2530 and 2538 is 3210570.