Least Common Multiple of 6538 and 6543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6538 and 6543 the smallest integer that is 42778134 that is divisible by both numbers.

Least Common Multiple (LCM) of 6538 and 6543 is 42778134.

LCM(6538,6543) = 42778134

LCM of 6538 and 6543

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

LCM of:
and

Least Common Multiple of 6538 and 6543

LCM of 6538 and 6543 is 42778134

Least common multiple can be found by multiplying the highest exponent prime factors of 6538 and 6543. First we will calculate the prime factors of 6538 and 6543.

Prime Factorization of 6538


2 6538
7 3269
467 467
1

Prime factors of 6538 are 2, 7,467. Prime factorization of 6538 in exponential form is:

6538 = 21×71×4671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6538 and 6543.

LCM(6538,6543) = 21×32×71×4671×7271
LCM(6538,6543) = 42778134

Factors of 6538

List of positive integer factors of 6538 that divides 6538 without a remainder.

1, 2, 7, 14, 467, 934, 3269, 6538

Factors of 6543

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

1, 3, 9, 727, 2181, 6543

Least Common Multiple of 6538 and 6543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6538 and 6543, than apply into the LCM equation.

GCF(6538,6543) = 1
LCM(6538,6543) = ( 6538 × 6543) / 1
LCM(6538,6543) = 42778134 / 1
LCM(6538,6543) = 42778134

Properties of LCM 6538 and 6543

(i) The LCM of 6543 and 6538 is associative

LCM of 6538 and 6543 = LCM of 6543 and 6538

Related Least Common Multiples of 6538

Related Least Common Multiples of 6543

Frequently Asked Questions on LCM of 6538 and 6543

1. What is the LCM of 6538 and 6543?

Answer: LCM of 6538 and 6543 is 42778134.

2. What are the Factors of 6538?

Answer: Factors of 6538 are 1, 2, 7, 14, 467, 934, 3269, 6538. There are 8 integers that are factors of 6538. The greatest factor of 6538 is 6538.

3. 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.

4. How to Find the LCM of 6538 and 6543?

Answer:

Least Common Multiple of 6538 and 6543 = 42778134

Step 1: Find the prime factorization of 6538

6538 = 2 x 7 x 467

Step 2: Find the prime factorization of 6543

6543 = 3 x 3 x 727

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

LCM = 42778134 = 2 x 3 x 3 x 7 x 467 x 727

Step 4: Therefore, the least common multiple of 6538 and 6543 is 42778134.