Least Common Multiple of 6561 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 6561 and 6568 the smallest integer that is 43092648 that is divisible by both numbers.

Least Common Multiple (LCM) of 6561 and 6568 is 43092648.

LCM(6561,6568) = 43092648

LCM of 6561 and 6568

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

LCM of:
and

Least Common Multiple of 6561 and 6568

LCM of 6561 and 6568 is 43092648

Least common multiple can be found by multiplying the highest exponent prime factors of 6561 and 6568. First we will calculate the prime factors of 6561 and 6568.

Prime Factorization of 6561


3 6561
3 2187
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 6561 are 3. Prime factorization of 6561 in exponential form is:

6561 = 38

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 6561 and 6568.

LCM(6561,6568) = 23×38×8211
LCM(6561,6568) = 43092648

Factors of 6561

List of positive integer factors of 6561 that divides 6561 without a remainder.

1, 3, 9, 27, 81, 243, 729, 2187, 6561

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 6561 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 6561 and 6568, than apply into the LCM equation.

GCF(6561,6568) = 1
LCM(6561,6568) = ( 6561 × 6568) / 1
LCM(6561,6568) = 43092648 / 1
LCM(6561,6568) = 43092648

Properties of LCM 6561 and 6568

(i) The LCM of 6568 and 6561 is associative

LCM of 6561 and 6568 = LCM of 6568 and 6561

Related Least Common Multiples of 6561

Related Least Common Multiples of 6568

Frequently Asked Questions on LCM of 6561 and 6568

1. What is the LCM of 6561 and 6568?

Answer: LCM of 6561 and 6568 is 43092648.

2. What are the Factors of 6561?

Answer: Factors of 6561 are 1, 3, 9, 27, 81, 243, 729, 2187, 6561. There are 9 integers that are factors of 6561. The greatest factor of 6561 is 6561.

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 6561 and 6568?

Answer:

Least Common Multiple of 6561 and 6568 = 43092648

Step 1: Find the prime factorization of 6561

6561 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3

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 = 43092648 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 821

Step 4: Therefore, the least common multiple of 6561 and 6568 is 43092648.