Least Common Multiple of 6561 and 6566

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 6566 the smallest integer that is 43079526 that is divisible by both numbers.

Least Common Multiple (LCM) of 6561 and 6566 is 43079526.

LCM(6561,6566) = 43079526

LCM of 6561 and 6566

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

LCM of:
and

Least Common Multiple of 6561 and 6566

LCM of 6561 and 6566 is 43079526

Least common multiple can be found by multiplying the highest exponent prime factors of 6561 and 6566. First we will calculate the prime factors of 6561 and 6566.

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 6566


2 6566
7 3283
7 469
67 67
1

Prime factors of 6566 are 2, 7,67. Prime factorization of 6566 in exponential form is:

6566 = 21×72×671

Now multiplying the highest exponent prime factors to calculate the LCM of 6561 and 6566.

LCM(6561,6566) = 21×38×72×671
LCM(6561,6566) = 43079526

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 6566

List of positive integer factors of 6566 that divides 6566 without a remainder.

1, 2, 7, 14, 49, 67, 98, 134, 469, 938, 3283, 6566

Least Common Multiple of 6561 and 6566 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 6566, than apply into the LCM equation.

GCF(6561,6566) = 1
LCM(6561,6566) = ( 6561 × 6566) / 1
LCM(6561,6566) = 43079526 / 1
LCM(6561,6566) = 43079526

Properties of LCM 6561 and 6566

(i) The LCM of 6566 and 6561 is associative

LCM of 6561 and 6566 = LCM of 6566 and 6561

Related Least Common Multiples of 6561

Related Least Common Multiples of 6566

Frequently Asked Questions on LCM of 6561 and 6566

1. What is the LCM of 6561 and 6566?

Answer: LCM of 6561 and 6566 is 43079526.

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 6566?

Answer: Factors of 6566 are 1, 2, 7, 14, 49, 67, 98, 134, 469, 938, 3283, 6566. There are 12 integers that are factors of 6566. The greatest factor of 6566 is 6566.

4. How to Find the LCM of 6561 and 6566?

Answer:

Least Common Multiple of 6561 and 6566 = 43079526

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 6566

6566 = 2 x 7 x 7 x 67

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

LCM = 43079526 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 7 x 67

Step 4: Therefore, the least common multiple of 6561 and 6566 is 43079526.