Least Common Multiple of 6564 and 6568

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 6568 the smallest integer that is 10778088 that is divisible by both numbers.

Least Common Multiple (LCM) of 6564 and 6568 is 10778088.

LCM(6564,6568) = 10778088

LCM of 6564 and 6568

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

LCM of:
and

Least Common Multiple of 6564 and 6568

LCM of 6564 and 6568 is 10778088

Least common multiple can be found by multiplying the highest exponent prime factors of 6564 and 6568. First we will calculate the prime factors of 6564 and 6568.

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 6568


2 6568
2 3284
2 1642
821 821
1

Prime factors of 6568 are 2,821. Prime factorization of 6568 in exponential form is:

6568 = 23×8211

Now multiplying the highest exponent prime factors to calculate the LCM of 6564 and 6568.

LCM(6564,6568) = 23×31×5471×8211
LCM(6564,6568) = 10778088

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 6568

List of positive integer factors of 6568 that divides 6568 without a remainder.

1, 2, 4, 8, 821, 1642, 3284, 6568

Least Common Multiple of 6564 and 6568 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 6568, than apply into the LCM equation.

GCF(6564,6568) = 4
LCM(6564,6568) = ( 6564 × 6568) / 4
LCM(6564,6568) = 43112352 / 4
LCM(6564,6568) = 10778088

Properties of LCM 6564 and 6568

(i) The LCM of 6568 and 6564 is associative

LCM of 6564 and 6568 = LCM of 6568 and 6564

Related Least Common Multiples of 6564

Related Least Common Multiples of 6568

Frequently Asked Questions on LCM of 6564 and 6568

1. What is the LCM of 6564 and 6568?

Answer: LCM of 6564 and 6568 is 10778088.

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 6568?

Answer: Factors of 6568 are 1, 2, 4, 8, 821, 1642, 3284, 6568. There are 8 integers that are factors of 6568. The greatest factor of 6568 is 6568.

4. How to Find the LCM of 6564 and 6568?

Answer:

Least Common Multiple of 6564 and 6568 = 10778088

Step 1: Find the prime factorization of 6564

6564 = 2 x 2 x 3 x 547

Step 2: Find the prime factorization of 6568

6568 = 2 x 2 x 2 x 821

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

LCM = 10778088 = 2 x 2 x 2 x 3 x 547 x 821

Step 4: Therefore, the least common multiple of 6564 and 6568 is 10778088.