Least Common Multiple of 6543 and 6548

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 6548 the smallest integer that is 42843564 that is divisible by both numbers.

Least Common Multiple (LCM) of 6543 and 6548 is 42843564.

LCM(6543,6548) = 42843564

LCM of 6543 and 6548

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

LCM of:
and

Least Common Multiple of 6543 and 6548

LCM of 6543 and 6548 is 42843564

Least common multiple can be found by multiplying the highest exponent prime factors of 6543 and 6548. First we will calculate the prime factors of 6543 and 6548.

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 6548


2 6548
2 3274
1637 1637
1

Prime factors of 6548 are 2,1637. Prime factorization of 6548 in exponential form is:

6548 = 22×16371

Now multiplying the highest exponent prime factors to calculate the LCM of 6543 and 6548.

LCM(6543,6548) = 22×32×7271×16371
LCM(6543,6548) = 42843564

Factors of 6543

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

1, 3, 9, 727, 2181, 6543

Factors of 6548

List of positive integer factors of 6548 that divides 6548 without a remainder.

1, 2, 4, 1637, 3274, 6548

Least Common Multiple of 6543 and 6548 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 6548, than apply into the LCM equation.

GCF(6543,6548) = 1
LCM(6543,6548) = ( 6543 × 6548) / 1
LCM(6543,6548) = 42843564 / 1
LCM(6543,6548) = 42843564

Properties of LCM 6543 and 6548

(i) The LCM of 6548 and 6543 is associative

LCM of 6543 and 6548 = LCM of 6548 and 6543

Related Least Common Multiples of 6543

Related Least Common Multiples of 6548

Frequently Asked Questions on LCM of 6543 and 6548

1. What is the LCM of 6543 and 6548?

Answer: LCM of 6543 and 6548 is 42843564.

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 6548?

Answer: Factors of 6548 are 1, 2, 4, 1637, 3274, 6548. There are 6 integers that are factors of 6548. The greatest factor of 6548 is 6548.

4. How to Find the LCM of 6543 and 6548?

Answer:

Least Common Multiple of 6543 and 6548 = 42843564

Step 1: Find the prime factorization of 6543

6543 = 3 x 3 x 727

Step 2: Find the prime factorization of 6548

6548 = 2 x 2 x 1637

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

LCM = 42843564 = 2 x 2 x 3 x 3 x 727 x 1637

Step 4: Therefore, the least common multiple of 6543 and 6548 is 42843564.