Least Common Multiple of 6523 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 6523 and 6531 the smallest integer that is 42601713 that is divisible by both numbers.

Least Common Multiple (LCM) of 6523 and 6531 is 42601713.

LCM(6523,6531) = 42601713

LCM of 6523 and 6531

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

LCM of:
and

Least Common Multiple of 6523 and 6531

LCM of 6523 and 6531 is 42601713

Least common multiple can be found by multiplying the highest exponent prime factors of 6523 and 6531. First we will calculate the prime factors of 6523 and 6531.

Prime Factorization of 6523


11 6523
593 593
1

Prime factors of 6523 are 11,593. Prime factorization of 6523 in exponential form is:

6523 = 111×5931

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 6523 and 6531.

LCM(6523,6531) = 31×71×111×3111×5931
LCM(6523,6531) = 42601713

Factors of 6523

List of positive integer factors of 6523 that divides 6523 without a remainder.

1, 11, 593, 6523

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 6523 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 6523 and 6531, than apply into the LCM equation.

GCF(6523,6531) = 1
LCM(6523,6531) = ( 6523 × 6531) / 1
LCM(6523,6531) = 42601713 / 1
LCM(6523,6531) = 42601713

Properties of LCM 6523 and 6531

(i) The LCM of 6531 and 6523 is associative

LCM of 6523 and 6531 = LCM of 6531 and 6523

Related Least Common Multiples of 6523

Related Least Common Multiples of 6531

Frequently Asked Questions on LCM of 6523 and 6531

1. What is the LCM of 6523 and 6531?

Answer: LCM of 6523 and 6531 is 42601713.

2. What are the Factors of 6523?

Answer: Factors of 6523 are 1, 11, 593, 6523. There are 4 integers that are factors of 6523. The greatest factor of 6523 is 6523.

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 6523 and 6531?

Answer:

Least Common Multiple of 6523 and 6531 = 42601713

Step 1: Find the prime factorization of 6523

6523 = 11 x 593

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 = 42601713 = 3 x 7 x 11 x 311 x 593

Step 4: Therefore, the least common multiple of 6523 and 6531 is 42601713.