Least Common Multiple of 6524 and 6531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6524 and 6531 the smallest integer that is 6086892 that is divisible by both numbers.

Least Common Multiple (LCM) of 6524 and 6531 is 6086892.

LCM(6524,6531) = 6086892

LCM of 6524 and 6531

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

LCM of:
and

Least Common Multiple of 6524 and 6531

LCM of 6524 and 6531 is 6086892

Least common multiple can be found by multiplying the highest exponent prime factors of 6524 and 6531. First we will calculate the prime factors of 6524 and 6531.

Prime Factorization of 6524


2 6524
2 3262
7 1631
233 233
1

Prime factors of 6524 are 2, 7,233. Prime factorization of 6524 in exponential form is:

6524 = 22×71×2331

Prime Factorization of 6531


3 6531
7 2177
311 311
1

Prime factors of 6531 are 3, 7,311. Prime factorization of 6531 in exponential form is:

6531 = 31×71×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 6524 and 6531.

LCM(6524,6531) = 22×31×71×2331×3111
LCM(6524,6531) = 6086892

Factors of 6524

List of positive integer factors of 6524 that divides 6524 without a remainder.

1, 2, 4, 7, 14, 28, 233, 466, 932, 1631, 3262, 6524

Factors of 6531

List of positive integer factors of 6531 that divides 6531 without a remainder.

1, 3, 7, 21, 311, 933, 2177, 6531

Least Common Multiple of 6524 and 6531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6524 and 6531, than apply into the LCM equation.

GCF(6524,6531) = 7
LCM(6524,6531) = ( 6524 × 6531) / 7
LCM(6524,6531) = 42608244 / 7
LCM(6524,6531) = 6086892

Properties of LCM 6524 and 6531

(i) The LCM of 6531 and 6524 is associative

LCM of 6524 and 6531 = LCM of 6531 and 6524

Related Least Common Multiples of 6524

Related Least Common Multiples of 6531

Frequently Asked Questions on LCM of 6524 and 6531

1. What is the LCM of 6524 and 6531?

Answer: LCM of 6524 and 6531 is 6086892.

2. What are the Factors of 6524?

Answer: Factors of 6524 are 1, 2, 4, 7, 14, 28, 233, 466, 932, 1631, 3262, 6524. There are 12 integers that are factors of 6524. The greatest factor of 6524 is 6524.

3. What are the Factors of 6531?

Answer: Factors of 6531 are 1, 3, 7, 21, 311, 933, 2177, 6531. There are 8 integers that are factors of 6531. The greatest factor of 6531 is 6531.

4. How to Find the LCM of 6524 and 6531?

Answer:

Least Common Multiple of 6524 and 6531 = 6086892

Step 1: Find the prime factorization of 6524

6524 = 2 x 2 x 7 x 233

Step 2: Find the prime factorization of 6531

6531 = 3 x 7 x 311

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

LCM = 6086892 = 2 x 2 x 3 x 7 x 233 x 311

Step 4: Therefore, the least common multiple of 6524 and 6531 is 6086892.