Least Common Multiple of 2531 and 2535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2531 and 2535 the smallest integer that is 6416085 that is divisible by both numbers.

Least Common Multiple (LCM) of 2531 and 2535 is 6416085.

LCM(2531,2535) = 6416085

LCM of 2531 and 2535

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

LCM of:
and

Least Common Multiple of 2531 and 2535

LCM of 2531 and 2535 is 6416085

Least common multiple can be found by multiplying the highest exponent prime factors of 2531 and 2535. First we will calculate the prime factors of 2531 and 2535.

Prime Factorization of 2531


2531 2531
1

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

2531 = 25311

Prime Factorization of 2535


3 2535
5 845
13 169
13 13
1

Prime factors of 2535 are 3, 5,13. Prime factorization of 2535 in exponential form is:

2535 = 31×51×132

Now multiplying the highest exponent prime factors to calculate the LCM of 2531 and 2535.

LCM(2531,2535) = 31×51×132×25311
LCM(2531,2535) = 6416085

Factors of 2531

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

1, 2531

Factors of 2535

List of positive integer factors of 2535 that divides 2535 without a remainder.

1, 3, 5, 13, 15, 39, 65, 169, 195, 507, 845, 2535

Least Common Multiple of 2531 and 2535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2531 and 2535, than apply into the LCM equation.

GCF(2531,2535) = 1
LCM(2531,2535) = ( 2531 × 2535) / 1
LCM(2531,2535) = 6416085 / 1
LCM(2531,2535) = 6416085

Properties of LCM 2531 and 2535

(i) The LCM of 2535 and 2531 is associative

LCM of 2531 and 2535 = LCM of 2535 and 2531

Related Least Common Multiples of 2531

Related Least Common Multiples of 2535

Frequently Asked Questions on LCM of 2531 and 2535

1. What is the LCM of 2531 and 2535?

Answer: LCM of 2531 and 2535 is 6416085.

2. 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.

3. What are the Factors of 2535?

Answer: Factors of 2535 are 1, 3, 5, 13, 15, 39, 65, 169, 195, 507, 845, 2535. There are 12 integers that are factors of 2535. The greatest factor of 2535 is 2535.

4. How to Find the LCM of 2531 and 2535?

Answer:

Least Common Multiple of 2531 and 2535 = 6416085

Step 1: Find the prime factorization of 2531

2531 = 2531

Step 2: Find the prime factorization of 2535

2535 = 3 x 5 x 13 x 13

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

LCM = 6416085 = 3 x 5 x 13 x 13 x 2531

Step 4: Therefore, the least common multiple of 2531 and 2535 is 6416085.