Least Common Multiple of 6553 and 6561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6553 and 6561 the smallest integer that is 42994233 that is divisible by both numbers.

Least Common Multiple (LCM) of 6553 and 6561 is 42994233.

LCM(6553,6561) = 42994233

LCM of 6553 and 6561

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

LCM of:
and

Least Common Multiple of 6553 and 6561

LCM of 6553 and 6561 is 42994233

Least common multiple can be found by multiplying the highest exponent prime factors of 6553 and 6561. First we will calculate the prime factors of 6553 and 6561.

Prime Factorization of 6553


6553 6553
1

Prime factors of 6553 are 6553. Prime factorization of 6553 in exponential form is:

6553 = 65531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6553 and 6561.

LCM(6553,6561) = 38×65531
LCM(6553,6561) = 42994233

Factors of 6553

List of positive integer factors of 6553 that divides 6553 without a remainder.

1, 6553

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

Least Common Multiple of 6553 and 6561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6553 and 6561, than apply into the LCM equation.

GCF(6553,6561) = 1
LCM(6553,6561) = ( 6553 × 6561) / 1
LCM(6553,6561) = 42994233 / 1
LCM(6553,6561) = 42994233

Properties of LCM 6553 and 6561

(i) The LCM of 6561 and 6553 is associative

LCM of 6553 and 6561 = LCM of 6561 and 6553

Related Least Common Multiples of 6553

Related Least Common Multiples of 6561

Frequently Asked Questions on LCM of 6553 and 6561

1. What is the LCM of 6553 and 6561?

Answer: LCM of 6553 and 6561 is 42994233.

2. What are the Factors of 6553?

Answer: Factors of 6553 are 1, 6553. There are 2 integers that are factors of 6553. The greatest factor of 6553 is 6553.

3. 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.

4. How to Find the LCM of 6553 and 6561?

Answer:

Least Common Multiple of 6553 and 6561 = 42994233

Step 1: Find the prime factorization of 6553

6553 = 6553

Step 2: Find the prime factorization of 6561

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

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

LCM = 42994233 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 6553

Step 4: Therefore, the least common multiple of 6553 and 6561 is 42994233.