Least Common Multiple of 8535 and 8543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8535 and 8543 the smallest integer that is 72914505 that is divisible by both numbers.

Least Common Multiple (LCM) of 8535 and 8543 is 72914505.

LCM(8535,8543) = 72914505

LCM of 8535 and 8543

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

LCM of:
and

Least Common Multiple of 8535 and 8543

LCM of 8535 and 8543 is 72914505

Least common multiple can be found by multiplying the highest exponent prime factors of 8535 and 8543. First we will calculate the prime factors of 8535 and 8543.

Prime Factorization of 8535


3 8535
5 2845
569 569
1

Prime factors of 8535 are 3, 5,569. Prime factorization of 8535 in exponential form is:

8535 = 31×51×5691

Prime Factorization of 8543


8543 8543
1

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

8543 = 85431

Now multiplying the highest exponent prime factors to calculate the LCM of 8535 and 8543.

LCM(8535,8543) = 31×51×5691×85431
LCM(8535,8543) = 72914505

Factors of 8535

List of positive integer factors of 8535 that divides 8535 without a remainder.

1, 3, 5, 15, 569, 1707, 2845, 8535

Factors of 8543

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

1, 8543

Least Common Multiple of 8535 and 8543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8535 and 8543, than apply into the LCM equation.

GCF(8535,8543) = 1
LCM(8535,8543) = ( 8535 × 8543) / 1
LCM(8535,8543) = 72914505 / 1
LCM(8535,8543) = 72914505

Properties of LCM 8535 and 8543

(i) The LCM of 8543 and 8535 is associative

LCM of 8535 and 8543 = LCM of 8543 and 8535

Related Least Common Multiples of 8535

Related Least Common Multiples of 8543

Frequently Asked Questions on LCM of 8535 and 8543

1. What is the LCM of 8535 and 8543?

Answer: LCM of 8535 and 8543 is 72914505.

2. What are the Factors of 8535?

Answer: Factors of 8535 are 1, 3, 5, 15, 569, 1707, 2845, 8535. There are 8 integers that are factors of 8535. The greatest factor of 8535 is 8535.

3. 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.

4. How to Find the LCM of 8535 and 8543?

Answer:

Least Common Multiple of 8535 and 8543 = 72914505

Step 1: Find the prime factorization of 8535

8535 = 3 x 5 x 569

Step 2: Find the prime factorization of 8543

8543 = 8543

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

LCM = 72914505 = 3 x 5 x 569 x 8543

Step 4: Therefore, the least common multiple of 8535 and 8543 is 72914505.