Least Common Multiple of 2530 and 2531

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 2531 the smallest integer that is 6403430 that is divisible by both numbers.

Least Common Multiple (LCM) of 2530 and 2531 is 6403430.

LCM(2530,2531) = 6403430

LCM of 2530 and 2531

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

LCM of:
and

Least Common Multiple of 2530 and 2531

LCM of 2530 and 2531 is 6403430

Least common multiple can be found by multiplying the highest exponent prime factors of 2530 and 2531. First we will calculate the prime factors of 2530 and 2531.

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 2531


2531 2531
1

Prime factors of 2531 are 2531. Prime factorization of 2531 in exponential form is:

2531 = 25311

Now multiplying the highest exponent prime factors to calculate the LCM of 2530 and 2531.

LCM(2530,2531) = 21×51×111×231×25311
LCM(2530,2531) = 6403430

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 2531

List of positive integer factors of 2531 that divides 2531 without a remainder.

1, 2531

Least Common Multiple of 2530 and 2531 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 2531, than apply into the LCM equation.

GCF(2530,2531) = 1
LCM(2530,2531) = ( 2530 × 2531) / 1
LCM(2530,2531) = 6403430 / 1
LCM(2530,2531) = 6403430

Properties of LCM 2530 and 2531

(i) The LCM of 2531 and 2530 is associative

LCM of 2530 and 2531 = LCM of 2531 and 2530

Related Least Common Multiples of 2530

Related Least Common Multiples of 2531

Frequently Asked Questions on LCM of 2530 and 2531

1. What is the LCM of 2530 and 2531?

Answer: LCM of 2530 and 2531 is 6403430.

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 2531?

Answer: Factors of 2531 are 1, 2531. There are 2 integers that are factors of 2531. The greatest factor of 2531 is 2531.

4. How to Find the LCM of 2530 and 2531?

Answer:

Least Common Multiple of 2530 and 2531 = 6403430

Step 1: Find the prime factorization of 2530

2530 = 2 x 5 x 11 x 23

Step 2: Find the prime factorization of 2531

2531 = 2531

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

LCM = 6403430 = 2 x 5 x 11 x 23 x 2531

Step 4: Therefore, the least common multiple of 2530 and 2531 is 6403430.