Least Common Multiple of 6530 and 6535

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 6535 the smallest integer that is 8534710 that is divisible by both numbers.

Least Common Multiple (LCM) of 6530 and 6535 is 8534710.

LCM(6530,6535) = 8534710

LCM of 6530 and 6535

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

LCM of:
and

Least Common Multiple of 6530 and 6535

LCM of 6530 and 6535 is 8534710

Least common multiple can be found by multiplying the highest exponent prime factors of 6530 and 6535. First we will calculate the prime factors of 6530 and 6535.

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 6535


5 6535
1307 1307
1

Prime factors of 6535 are 5,1307. Prime factorization of 6535 in exponential form is:

6535 = 51×13071

Now multiplying the highest exponent prime factors to calculate the LCM of 6530 and 6535.

LCM(6530,6535) = 21×51×6531×13071
LCM(6530,6535) = 8534710

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 6535

List of positive integer factors of 6535 that divides 6535 without a remainder.

1, 5, 1307, 6535

Least Common Multiple of 6530 and 6535 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 6535, than apply into the LCM equation.

GCF(6530,6535) = 5
LCM(6530,6535) = ( 6530 × 6535) / 5
LCM(6530,6535) = 42673550 / 5
LCM(6530,6535) = 8534710

Properties of LCM 6530 and 6535

(i) The LCM of 6535 and 6530 is associative

LCM of 6530 and 6535 = LCM of 6535 and 6530

Related Least Common Multiples of 6530

Related Least Common Multiples of 6535

Frequently Asked Questions on LCM of 6530 and 6535

1. What is the LCM of 6530 and 6535?

Answer: LCM of 6530 and 6535 is 8534710.

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 6535?

Answer: Factors of 6535 are 1, 5, 1307, 6535. There are 4 integers that are factors of 6535. The greatest factor of 6535 is 6535.

4. How to Find the LCM of 6530 and 6535?

Answer:

Least Common Multiple of 6530 and 6535 = 8534710

Step 1: Find the prime factorization of 6530

6530 = 2 x 5 x 653

Step 2: Find the prime factorization of 6535

6535 = 5 x 1307

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

LCM = 8534710 = 2 x 5 x 653 x 1307

Step 4: Therefore, the least common multiple of 6530 and 6535 is 8534710.