Least Common Multiple of 6543 and 6547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6543 and 6547 the smallest integer that is 42837021 that is divisible by both numbers.

Least Common Multiple (LCM) of 6543 and 6547 is 42837021.

LCM(6543,6547) = 42837021

LCM of 6543 and 6547

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

LCM of:
and

Least Common Multiple of 6543 and 6547

LCM of 6543 and 6547 is 42837021

Least common multiple can be found by multiplying the highest exponent prime factors of 6543 and 6547. First we will calculate the prime factors of 6543 and 6547.

Prime Factorization of 6543


3 6543
3 2181
727 727
1

Prime factors of 6543 are 3,727. Prime factorization of 6543 in exponential form is:

6543 = 32×7271

Prime Factorization of 6547


6547 6547
1

Prime factors of 6547 are 6547. Prime factorization of 6547 in exponential form is:

6547 = 65471

Now multiplying the highest exponent prime factors to calculate the LCM of 6543 and 6547.

LCM(6543,6547) = 32×7271×65471
LCM(6543,6547) = 42837021

Factors of 6543

List of positive integer factors of 6543 that divides 6543 without a remainder.

1, 3, 9, 727, 2181, 6543

Factors of 6547

List of positive integer factors of 6547 that divides 6547 without a remainder.

1, 6547

Least Common Multiple of 6543 and 6547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6543 and 6547, than apply into the LCM equation.

GCF(6543,6547) = 1
LCM(6543,6547) = ( 6543 × 6547) / 1
LCM(6543,6547) = 42837021 / 1
LCM(6543,6547) = 42837021

Properties of LCM 6543 and 6547

(i) The LCM of 6547 and 6543 is associative

LCM of 6543 and 6547 = LCM of 6547 and 6543

Related Least Common Multiples of 6543

Related Least Common Multiples of 6547

Frequently Asked Questions on LCM of 6543 and 6547

1. What is the LCM of 6543 and 6547?

Answer: LCM of 6543 and 6547 is 42837021.

2. What are the Factors of 6543?

Answer: Factors of 6543 are 1, 3, 9, 727, 2181, 6543. There are 6 integers that are factors of 6543. The greatest factor of 6543 is 6543.

3. What are the Factors of 6547?

Answer: Factors of 6547 are 1, 6547. There are 2 integers that are factors of 6547. The greatest factor of 6547 is 6547.

4. How to Find the LCM of 6543 and 6547?

Answer:

Least Common Multiple of 6543 and 6547 = 42837021

Step 1: Find the prime factorization of 6543

6543 = 3 x 3 x 727

Step 2: Find the prime factorization of 6547

6547 = 6547

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

LCM = 42837021 = 3 x 3 x 727 x 6547

Step 4: Therefore, the least common multiple of 6543 and 6547 is 42837021.