Least Common Multiple of 6530 and 6538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6530 and 6538 the smallest integer that is 21346570 that is divisible by both numbers.

Least Common Multiple (LCM) of 6530 and 6538 is 21346570.

LCM(6530,6538) = 21346570

LCM of 6530 and 6538

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

LCM of:
and

Least Common Multiple of 6530 and 6538

LCM of 6530 and 6538 is 21346570

Least common multiple can be found by multiplying the highest exponent prime factors of 6530 and 6538. First we will calculate the prime factors of 6530 and 6538.

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

Prime Factorization of 6538


2 6538
7 3269
467 467
1

Prime factors of 6538 are 2, 7,467. Prime factorization of 6538 in exponential form is:

6538 = 21×71×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 6530 and 6538.

LCM(6530,6538) = 21×51×71×4671×6531
LCM(6530,6538) = 21346570

Factors of 6530

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

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

Factors of 6538

List of positive integer factors of 6538 that divides 6538 without a remainder.

1, 2, 7, 14, 467, 934, 3269, 6538

Least Common Multiple of 6530 and 6538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6530 and 6538, than apply into the LCM equation.

GCF(6530,6538) = 2
LCM(6530,6538) = ( 6530 × 6538) / 2
LCM(6530,6538) = 42693140 / 2
LCM(6530,6538) = 21346570

Properties of LCM 6530 and 6538

(i) The LCM of 6538 and 6530 is associative

LCM of 6530 and 6538 = LCM of 6538 and 6530

Related Least Common Multiples of 6530

Related Least Common Multiples of 6538

Frequently Asked Questions on LCM of 6530 and 6538

1. What is the LCM of 6530 and 6538?

Answer: LCM of 6530 and 6538 is 21346570.

2. 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.

3. What are the Factors of 6538?

Answer: Factors of 6538 are 1, 2, 7, 14, 467, 934, 3269, 6538. There are 8 integers that are factors of 6538. The greatest factor of 6538 is 6538.

4. How to Find the LCM of 6530 and 6538?

Answer:

Least Common Multiple of 6530 and 6538 = 21346570

Step 1: Find the prime factorization of 6530

6530 = 2 x 5 x 653

Step 2: Find the prime factorization of 6538

6538 = 2 x 7 x 467

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

LCM = 21346570 = 2 x 5 x 7 x 467 x 653

Step 4: Therefore, the least common multiple of 6530 and 6538 is 21346570.