Least Common Multiple of 6564 and 6569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6564 and 6569 the smallest integer that is 43118916 that is divisible by both numbers.

Least Common Multiple (LCM) of 6564 and 6569 is 43118916.

LCM(6564,6569) = 43118916

LCM of 6564 and 6569

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

LCM of:
and

Least Common Multiple of 6564 and 6569

LCM of 6564 and 6569 is 43118916

Least common multiple can be found by multiplying the highest exponent prime factors of 6564 and 6569. First we will calculate the prime factors of 6564 and 6569.

Prime Factorization of 6564


2 6564
2 3282
3 1641
547 547
1

Prime factors of 6564 are 2, 3,547. Prime factorization of 6564 in exponential form is:

6564 = 22×31×5471

Prime Factorization of 6569


6569 6569
1

Prime factors of 6569 are 6569. Prime factorization of 6569 in exponential form is:

6569 = 65691

Now multiplying the highest exponent prime factors to calculate the LCM of 6564 and 6569.

LCM(6564,6569) = 22×31×5471×65691
LCM(6564,6569) = 43118916

Factors of 6564

List of positive integer factors of 6564 that divides 6564 without a remainder.

1, 2, 3, 4, 6, 12, 547, 1094, 1641, 2188, 3282, 6564

Factors of 6569

List of positive integer factors of 6569 that divides 6569 without a remainder.

1, 6569

Least Common Multiple of 6564 and 6569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6564 and 6569, than apply into the LCM equation.

GCF(6564,6569) = 1
LCM(6564,6569) = ( 6564 × 6569) / 1
LCM(6564,6569) = 43118916 / 1
LCM(6564,6569) = 43118916

Properties of LCM 6564 and 6569

(i) The LCM of 6569 and 6564 is associative

LCM of 6564 and 6569 = LCM of 6569 and 6564

Related Least Common Multiples of 6564

Related Least Common Multiples of 6569

Frequently Asked Questions on LCM of 6564 and 6569

1. What is the LCM of 6564 and 6569?

Answer: LCM of 6564 and 6569 is 43118916.

2. What are the Factors of 6564?

Answer: Factors of 6564 are 1, 2, 3, 4, 6, 12, 547, 1094, 1641, 2188, 3282, 6564. There are 12 integers that are factors of 6564. The greatest factor of 6564 is 6564.

3. What are the Factors of 6569?

Answer: Factors of 6569 are 1, 6569. There are 2 integers that are factors of 6569. The greatest factor of 6569 is 6569.

4. How to Find the LCM of 6564 and 6569?

Answer:

Least Common Multiple of 6564 and 6569 = 43118916

Step 1: Find the prime factorization of 6564

6564 = 2 x 2 x 3 x 547

Step 2: Find the prime factorization of 6569

6569 = 6569

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

LCM = 43118916 = 2 x 2 x 3 x 547 x 6569

Step 4: Therefore, the least common multiple of 6564 and 6569 is 43118916.