Least Common Multiple of 6561 and 6563

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 6563 the smallest integer that is 43059843 that is divisible by both numbers.

Least Common Multiple (LCM) of 6561 and 6563 is 43059843.

LCM(6561,6563) = 43059843

LCM of 6561 and 6563

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

LCM of:
and

Least Common Multiple of 6561 and 6563

LCM of 6561 and 6563 is 43059843

Least common multiple can be found by multiplying the highest exponent prime factors of 6561 and 6563. First we will calculate the prime factors of 6561 and 6563.

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 6563


6563 6563
1

Prime factors of 6563 are 6563. Prime factorization of 6563 in exponential form is:

6563 = 65631

Now multiplying the highest exponent prime factors to calculate the LCM of 6561 and 6563.

LCM(6561,6563) = 38×65631
LCM(6561,6563) = 43059843

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 6563

List of positive integer factors of 6563 that divides 6563 without a remainder.

1, 6563

Least Common Multiple of 6561 and 6563 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 6563, than apply into the LCM equation.

GCF(6561,6563) = 1
LCM(6561,6563) = ( 6561 × 6563) / 1
LCM(6561,6563) = 43059843 / 1
LCM(6561,6563) = 43059843

Properties of LCM 6561 and 6563

(i) The LCM of 6563 and 6561 is associative

LCM of 6561 and 6563 = LCM of 6563 and 6561

Related Least Common Multiples of 6561

Related Least Common Multiples of 6563

Frequently Asked Questions on LCM of 6561 and 6563

1. What is the LCM of 6561 and 6563?

Answer: LCM of 6561 and 6563 is 43059843.

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 6563?

Answer: Factors of 6563 are 1, 6563. There are 2 integers that are factors of 6563. The greatest factor of 6563 is 6563.

4. How to Find the LCM of 6561 and 6563?

Answer:

Least Common Multiple of 6561 and 6563 = 43059843

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 6563

6563 = 6563

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

LCM = 43059843 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 6563

Step 4: Therefore, the least common multiple of 6561 and 6563 is 43059843.