Least Common Multiple of 6524 and 6530

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 6530 the smallest integer that is 21300860 that is divisible by both numbers.

Least Common Multiple (LCM) of 6524 and 6530 is 21300860.

LCM(6524,6530) = 21300860

LCM of 6524 and 6530

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

LCM of:
and

Least Common Multiple of 6524 and 6530

LCM of 6524 and 6530 is 21300860

Least common multiple can be found by multiplying the highest exponent prime factors of 6524 and 6530. First we will calculate the prime factors of 6524 and 6530.

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 6530


2 6530
5 3265
653 653
1

Prime factors of 6530 are 2, 5,653. Prime factorization of 6530 in exponential form is:

6530 = 21×51×6531

Now multiplying the highest exponent prime factors to calculate the LCM of 6524 and 6530.

LCM(6524,6530) = 22×51×71×2331×6531
LCM(6524,6530) = 21300860

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 6530

List of positive integer factors of 6530 that divides 6530 without a remainder.

1, 2, 5, 10, 653, 1306, 3265, 6530

Least Common Multiple of 6524 and 6530 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 6530, than apply into the LCM equation.

GCF(6524,6530) = 2
LCM(6524,6530) = ( 6524 × 6530) / 2
LCM(6524,6530) = 42601720 / 2
LCM(6524,6530) = 21300860

Properties of LCM 6524 and 6530

(i) The LCM of 6530 and 6524 is associative

LCM of 6524 and 6530 = LCM of 6530 and 6524

Related Least Common Multiples of 6524

Related Least Common Multiples of 6530

Frequently Asked Questions on LCM of 6524 and 6530

1. What is the LCM of 6524 and 6530?

Answer: LCM of 6524 and 6530 is 21300860.

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 6530?

Answer: Factors of 6530 are 1, 2, 5, 10, 653, 1306, 3265, 6530. There are 8 integers that are factors of 6530. The greatest factor of 6530 is 6530.

4. How to Find the LCM of 6524 and 6530?

Answer:

Least Common Multiple of 6524 and 6530 = 21300860

Step 1: Find the prime factorization of 6524

6524 = 2 x 2 x 7 x 233

Step 2: Find the prime factorization of 6530

6530 = 2 x 5 x 653

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

LCM = 21300860 = 2 x 2 x 5 x 7 x 233 x 653

Step 4: Therefore, the least common multiple of 6524 and 6530 is 21300860.