Least Common Multiple of 8543 and 8549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8543 and 8549 the smallest integer that is 73034107 that is divisible by both numbers.

Least Common Multiple (LCM) of 8543 and 8549 is 73034107.

LCM(8543,8549) = 73034107

LCM of 8543 and 8549

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

LCM of:
and

Least Common Multiple of 8543 and 8549

LCM of 8543 and 8549 is 73034107

Least common multiple can be found by multiplying the highest exponent prime factors of 8543 and 8549. First we will calculate the prime factors of 8543 and 8549.

Prime Factorization of 8543


8543 8543
1

Prime factors of 8543 are 8543. Prime factorization of 8543 in exponential form is:

8543 = 85431

Prime Factorization of 8549


83 8549
103 103
1

Prime factors of 8549 are 83,103. Prime factorization of 8549 in exponential form is:

8549 = 831×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 8543 and 8549.

LCM(8543,8549) = 831×1031×85431
LCM(8543,8549) = 73034107

Factors of 8543

List of positive integer factors of 8543 that divides 8543 without a remainder.

1, 8543

Factors of 8549

List of positive integer factors of 8549 that divides 8549 without a remainder.

1, 83, 103, 8549

Least Common Multiple of 8543 and 8549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8543 and 8549, than apply into the LCM equation.

GCF(8543,8549) = 1
LCM(8543,8549) = ( 8543 × 8549) / 1
LCM(8543,8549) = 73034107 / 1
LCM(8543,8549) = 73034107

Properties of LCM 8543 and 8549

(i) The LCM of 8549 and 8543 is associative

LCM of 8543 and 8549 = LCM of 8549 and 8543

Related Least Common Multiples of 8543

Related Least Common Multiples of 8549

Frequently Asked Questions on LCM of 8543 and 8549

1. What is the LCM of 8543 and 8549?

Answer: LCM of 8543 and 8549 is 73034107.

2. What are the Factors of 8543?

Answer: Factors of 8543 are 1, 8543. There are 2 integers that are factors of 8543. The greatest factor of 8543 is 8543.

3. What are the Factors of 8549?

Answer: Factors of 8549 are 1, 83, 103, 8549. There are 4 integers that are factors of 8549. The greatest factor of 8549 is 8549.

4. How to Find the LCM of 8543 and 8549?

Answer:

Least Common Multiple of 8543 and 8549 = 73034107

Step 1: Find the prime factorization of 8543

8543 = 8543

Step 2: Find the prime factorization of 8549

8549 = 83 x 103

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

LCM = 73034107 = 83 x 103 x 8543

Step 4: Therefore, the least common multiple of 8543 and 8549 is 73034107.