Least Common Multiple of 2527 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 2527 and 2531 the smallest integer that is 6395837 that is divisible by both numbers.

Least Common Multiple (LCM) of 2527 and 2531 is 6395837.

LCM(2527,2531) = 6395837

LCM of 2527 and 2531

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

LCM of:
and

Least Common Multiple of 2527 and 2531

LCM of 2527 and 2531 is 6395837

Least common multiple can be found by multiplying the highest exponent prime factors of 2527 and 2531. First we will calculate the prime factors of 2527 and 2531.

Prime Factorization of 2527


7 2527
19 361
19 19
1

Prime factors of 2527 are 7,19. Prime factorization of 2527 in exponential form is:

2527 = 71×192

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 2527 and 2531.

LCM(2527,2531) = 71×192×25311
LCM(2527,2531) = 6395837

Factors of 2527

List of positive integer factors of 2527 that divides 2527 without a remainder.

1, 7, 19, 133, 361, 2527

Factors of 2531

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

1, 2531

Least Common Multiple of 2527 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 2527 and 2531, than apply into the LCM equation.

GCF(2527,2531) = 1
LCM(2527,2531) = ( 2527 × 2531) / 1
LCM(2527,2531) = 6395837 / 1
LCM(2527,2531) = 6395837

Properties of LCM 2527 and 2531

(i) The LCM of 2531 and 2527 is associative

LCM of 2527 and 2531 = LCM of 2531 and 2527

Related Least Common Multiples of 2527

Related Least Common Multiples of 2531

Frequently Asked Questions on LCM of 2527 and 2531

1. What is the LCM of 2527 and 2531?

Answer: LCM of 2527 and 2531 is 6395837.

2. What are the Factors of 2527?

Answer: Factors of 2527 are 1, 7, 19, 133, 361, 2527. There are 6 integers that are factors of 2527. The greatest factor of 2527 is 2527.

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 2527 and 2531?

Answer:

Least Common Multiple of 2527 and 2531 = 6395837

Step 1: Find the prime factorization of 2527

2527 = 7 x 19 x 19

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 = 6395837 = 7 x 19 x 19 x 2531

Step 4: Therefore, the least common multiple of 2527 and 2531 is 6395837.