Least Common Multiple of 6536 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 6536 and 6543 the smallest integer that is 42765048 that is divisible by both numbers.

Least Common Multiple (LCM) of 6536 and 6543 is 42765048.

LCM(6536,6543) = 42765048

LCM of 6536 and 6543

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

LCM of:
and

Least Common Multiple of 6536 and 6543

LCM of 6536 and 6543 is 42765048

Least common multiple can be found by multiplying the highest exponent prime factors of 6536 and 6543. First we will calculate the prime factors of 6536 and 6543.

Prime Factorization of 6536


2 6536
2 3268
2 1634
19 817
43 43
1

Prime factors of 6536 are 2, 19,43. Prime factorization of 6536 in exponential form is:

6536 = 23×191×431

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 6536 and 6543.

LCM(6536,6543) = 23×32×191×431×7271
LCM(6536,6543) = 42765048

Factors of 6536

List of positive integer factors of 6536 that divides 6536 without a remainder.

1, 2, 4, 8, 19, 38, 43, 76, 86, 152, 172, 344, 817, 1634, 3268, 6536

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 6536 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 6536 and 6543, than apply into the LCM equation.

GCF(6536,6543) = 1
LCM(6536,6543) = ( 6536 × 6543) / 1
LCM(6536,6543) = 42765048 / 1
LCM(6536,6543) = 42765048

Properties of LCM 6536 and 6543

(i) The LCM of 6543 and 6536 is associative

LCM of 6536 and 6543 = LCM of 6543 and 6536

Related Least Common Multiples of 6536

Related Least Common Multiples of 6543

Frequently Asked Questions on LCM of 6536 and 6543

1. What is the LCM of 6536 and 6543?

Answer: LCM of 6536 and 6543 is 42765048.

2. What are the Factors of 6536?

Answer: Factors of 6536 are 1, 2, 4, 8, 19, 38, 43, 76, 86, 152, 172, 344, 817, 1634, 3268, 6536. There are 16 integers that are factors of 6536. The greatest factor of 6536 is 6536.

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 6536 and 6543?

Answer:

Least Common Multiple of 6536 and 6543 = 42765048

Step 1: Find the prime factorization of 6536

6536 = 2 x 2 x 2 x 19 x 43

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 = 42765048 = 2 x 2 x 2 x 3 x 3 x 19 x 43 x 727

Step 4: Therefore, the least common multiple of 6536 and 6543 is 42765048.