Least Common Multiple of 6522 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 6522 and 6530 the smallest integer that is 21294330 that is divisible by both numbers.

Least Common Multiple (LCM) of 6522 and 6530 is 21294330.

LCM(6522,6530) = 21294330

LCM of 6522 and 6530

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

LCM of:
and

Least Common Multiple of 6522 and 6530

LCM of 6522 and 6530 is 21294330

Least common multiple can be found by multiplying the highest exponent prime factors of 6522 and 6530. First we will calculate the prime factors of 6522 and 6530.

Prime Factorization of 6522


2 6522
3 3261
1087 1087
1

Prime factors of 6522 are 2, 3,1087. Prime factorization of 6522 in exponential form is:

6522 = 21×31×10871

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 6522 and 6530.

LCM(6522,6530) = 21×31×51×6531×10871
LCM(6522,6530) = 21294330

Factors of 6522

List of positive integer factors of 6522 that divides 6522 without a remainder.

1, 2, 3, 6, 1087, 2174, 3261, 6522

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 6522 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 6522 and 6530, than apply into the LCM equation.

GCF(6522,6530) = 2
LCM(6522,6530) = ( 6522 × 6530) / 2
LCM(6522,6530) = 42588660 / 2
LCM(6522,6530) = 21294330

Properties of LCM 6522 and 6530

(i) The LCM of 6530 and 6522 is associative

LCM of 6522 and 6530 = LCM of 6530 and 6522

Related Least Common Multiples of 6522

Related Least Common Multiples of 6530

Frequently Asked Questions on LCM of 6522 and 6530

1. What is the LCM of 6522 and 6530?

Answer: LCM of 6522 and 6530 is 21294330.

2. What are the Factors of 6522?

Answer: Factors of 6522 are 1, 2, 3, 6, 1087, 2174, 3261, 6522. There are 8 integers that are factors of 6522. The greatest factor of 6522 is 6522.

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 6522 and 6530?

Answer:

Least Common Multiple of 6522 and 6530 = 21294330

Step 1: Find the prime factorization of 6522

6522 = 2 x 3 x 1087

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 = 21294330 = 2 x 3 x 5 x 653 x 1087

Step 4: Therefore, the least common multiple of 6522 and 6530 is 21294330.