Least Common Multiple of 6561 and 6565

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 6565 the smallest integer that is 43072965 that is divisible by both numbers.

Least Common Multiple (LCM) of 6561 and 6565 is 43072965.

LCM(6561,6565) = 43072965

LCM of 6561 and 6565

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

LCM of:
and

Least Common Multiple of 6561 and 6565

LCM of 6561 and 6565 is 43072965

Least common multiple can be found by multiplying the highest exponent prime factors of 6561 and 6565. First we will calculate the prime factors of 6561 and 6565.

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 6565


5 6565
13 1313
101 101
1

Prime factors of 6565 are 5, 13,101. Prime factorization of 6565 in exponential form is:

6565 = 51×131×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 6561 and 6565.

LCM(6561,6565) = 38×51×131×1011
LCM(6561,6565) = 43072965

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 6565

List of positive integer factors of 6565 that divides 6565 without a remainder.

1, 5, 13, 65, 101, 505, 1313, 6565

Least Common Multiple of 6561 and 6565 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 6565, than apply into the LCM equation.

GCF(6561,6565) = 1
LCM(6561,6565) = ( 6561 × 6565) / 1
LCM(6561,6565) = 43072965 / 1
LCM(6561,6565) = 43072965

Properties of LCM 6561 and 6565

(i) The LCM of 6565 and 6561 is associative

LCM of 6561 and 6565 = LCM of 6565 and 6561

Related Least Common Multiples of 6561

Related Least Common Multiples of 6565

Frequently Asked Questions on LCM of 6561 and 6565

1. What is the LCM of 6561 and 6565?

Answer: LCM of 6561 and 6565 is 43072965.

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 6565?

Answer: Factors of 6565 are 1, 5, 13, 65, 101, 505, 1313, 6565. There are 8 integers that are factors of 6565. The greatest factor of 6565 is 6565.

4. How to Find the LCM of 6561 and 6565?

Answer:

Least Common Multiple of 6561 and 6565 = 43072965

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 6565

6565 = 5 x 13 x 101

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

LCM = 43072965 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 13 x 101

Step 4: Therefore, the least common multiple of 6561 and 6565 is 43072965.