Least Common Multiple of 6530 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 6530 and 6537 the smallest integer that is 42686610 that is divisible by both numbers.

Least Common Multiple (LCM) of 6530 and 6537 is 42686610.

LCM(6530,6537) = 42686610

LCM of 6530 and 6537

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

LCM of:
and

Least Common Multiple of 6530 and 6537

LCM of 6530 and 6537 is 42686610

Least common multiple can be found by multiplying the highest exponent prime factors of 6530 and 6537. First we will calculate the prime factors of 6530 and 6537.

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 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 6530 and 6537.

LCM(6530,6537) = 21×31×51×6531×21791
LCM(6530,6537) = 42686610

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 6537

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

1, 3, 2179, 6537

Least Common Multiple of 6530 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 6530 and 6537, than apply into the LCM equation.

GCF(6530,6537) = 1
LCM(6530,6537) = ( 6530 × 6537) / 1
LCM(6530,6537) = 42686610 / 1
LCM(6530,6537) = 42686610

Properties of LCM 6530 and 6537

(i) The LCM of 6537 and 6530 is associative

LCM of 6530 and 6537 = LCM of 6537 and 6530

Related Least Common Multiples of 6530

Related Least Common Multiples of 6537

Frequently Asked Questions on LCM of 6530 and 6537

1. What is the LCM of 6530 and 6537?

Answer: LCM of 6530 and 6537 is 42686610.

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 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 6530 and 6537?

Answer:

Least Common Multiple of 6530 and 6537 = 42686610

Step 1: Find the prime factorization of 6530

6530 = 2 x 5 x 653

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 = 42686610 = 2 x 3 x 5 x 653 x 2179

Step 4: Therefore, the least common multiple of 6530 and 6537 is 42686610.