Least Common Multiple of 6531 and 6537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6531 and 6537 the smallest integer that is 14231049 that is divisible by both numbers.

Least Common Multiple (LCM) of 6531 and 6537 is 14231049.

LCM(6531,6537) = 14231049

LCM of 6531 and 6537

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

LCM of:
and

Least Common Multiple of 6531 and 6537

LCM of 6531 and 6537 is 14231049

Least common multiple can be found by multiplying the highest exponent prime factors of 6531 and 6537. First we will calculate the prime factors of 6531 and 6537.

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

Prime Factorization of 6537


3 6537
2179 2179
1

Prime factors of 6537 are 3,2179. Prime factorization of 6537 in exponential form is:

6537 = 31×21791

Now multiplying the highest exponent prime factors to calculate the LCM of 6531 and 6537.

LCM(6531,6537) = 31×71×3111×21791
LCM(6531,6537) = 14231049

Factors of 6531

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

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

Factors of 6537

List of positive integer factors of 6537 that divides 6537 without a remainder.

1, 3, 2179, 6537

Least Common Multiple of 6531 and 6537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6531 and 6537, than apply into the LCM equation.

GCF(6531,6537) = 3
LCM(6531,6537) = ( 6531 × 6537) / 3
LCM(6531,6537) = 42693147 / 3
LCM(6531,6537) = 14231049

Properties of LCM 6531 and 6537

(i) The LCM of 6537 and 6531 is associative

LCM of 6531 and 6537 = LCM of 6537 and 6531

Related Least Common Multiples of 6531

Related Least Common Multiples of 6537

Frequently Asked Questions on LCM of 6531 and 6537

1. What is the LCM of 6531 and 6537?

Answer: LCM of 6531 and 6537 is 14231049.

2. 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.

3. What are the Factors of 6537?

Answer: Factors of 6537 are 1, 3, 2179, 6537. There are 4 integers that are factors of 6537. The greatest factor of 6537 is 6537.

4. How to Find the LCM of 6531 and 6537?

Answer:

Least Common Multiple of 6531 and 6537 = 14231049

Step 1: Find the prime factorization of 6531

6531 = 3 x 7 x 311

Step 2: Find the prime factorization of 6537

6537 = 3 x 2179

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

LCM = 14231049 = 3 x 7 x 311 x 2179

Step 4: Therefore, the least common multiple of 6531 and 6537 is 14231049.