Least Common Multiple of 6561 and 6567

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 6567 the smallest integer that is 14362029 that is divisible by both numbers.

Least Common Multiple (LCM) of 6561 and 6567 is 14362029.

LCM(6561,6567) = 14362029

LCM of 6561 and 6567

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

LCM of:
and

Least Common Multiple of 6561 and 6567

LCM of 6561 and 6567 is 14362029

Least common multiple can be found by multiplying the highest exponent prime factors of 6561 and 6567. First we will calculate the prime factors of 6561 and 6567.

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 6567


3 6567
11 2189
199 199
1

Prime factors of 6567 are 3, 11,199. Prime factorization of 6567 in exponential form is:

6567 = 31×111×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 6561 and 6567.

LCM(6561,6567) = 38×111×1991
LCM(6561,6567) = 14362029

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 6567

List of positive integer factors of 6567 that divides 6567 without a remainder.

1, 3, 11, 33, 199, 597, 2189, 6567

Least Common Multiple of 6561 and 6567 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 6567, than apply into the LCM equation.

GCF(6561,6567) = 3
LCM(6561,6567) = ( 6561 × 6567) / 3
LCM(6561,6567) = 43086087 / 3
LCM(6561,6567) = 14362029

Properties of LCM 6561 and 6567

(i) The LCM of 6567 and 6561 is associative

LCM of 6561 and 6567 = LCM of 6567 and 6561

Related Least Common Multiples of 6561

Related Least Common Multiples of 6567

Frequently Asked Questions on LCM of 6561 and 6567

1. What is the LCM of 6561 and 6567?

Answer: LCM of 6561 and 6567 is 14362029.

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 6567?

Answer: Factors of 6567 are 1, 3, 11, 33, 199, 597, 2189, 6567. There are 8 integers that are factors of 6567. The greatest factor of 6567 is 6567.

4. How to Find the LCM of 6561 and 6567?

Answer:

Least Common Multiple of 6561 and 6567 = 14362029

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 6567

6567 = 3 x 11 x 199

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

LCM = 14362029 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 11 x 199

Step 4: Therefore, the least common multiple of 6561 and 6567 is 14362029.