Least Common Multiple of 8535 and 8541

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 8541 the smallest integer that is 24299145 that is divisible by both numbers.

Least Common Multiple (LCM) of 8535 and 8541 is 24299145.

LCM(8535,8541) = 24299145

LCM of 8535 and 8541

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

LCM of:
and

Least Common Multiple of 8535 and 8541

LCM of 8535 and 8541 is 24299145

Least common multiple can be found by multiplying the highest exponent prime factors of 8535 and 8541. First we will calculate the prime factors of 8535 and 8541.

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 8541


3 8541
3 2847
13 949
73 73
1

Prime factors of 8541 are 3, 13,73. Prime factorization of 8541 in exponential form is:

8541 = 32×131×731

Now multiplying the highest exponent prime factors to calculate the LCM of 8535 and 8541.

LCM(8535,8541) = 32×51×131×731×5691
LCM(8535,8541) = 24299145

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 8541

List of positive integer factors of 8541 that divides 8541 without a remainder.

1, 3, 9, 13, 39, 73, 117, 219, 657, 949, 2847, 8541

Least Common Multiple of 8535 and 8541 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 8541, than apply into the LCM equation.

GCF(8535,8541) = 3
LCM(8535,8541) = ( 8535 × 8541) / 3
LCM(8535,8541) = 72897435 / 3
LCM(8535,8541) = 24299145

Properties of LCM 8535 and 8541

(i) The LCM of 8541 and 8535 is associative

LCM of 8535 and 8541 = LCM of 8541 and 8535

Related Least Common Multiples of 8535

Related Least Common Multiples of 8541

Frequently Asked Questions on LCM of 8535 and 8541

1. What is the LCM of 8535 and 8541?

Answer: LCM of 8535 and 8541 is 24299145.

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 8541?

Answer: Factors of 8541 are 1, 3, 9, 13, 39, 73, 117, 219, 657, 949, 2847, 8541. There are 12 integers that are factors of 8541. The greatest factor of 8541 is 8541.

4. How to Find the LCM of 8535 and 8541?

Answer:

Least Common Multiple of 8535 and 8541 = 24299145

Step 1: Find the prime factorization of 8535

8535 = 3 x 5 x 569

Step 2: Find the prime factorization of 8541

8541 = 3 x 3 x 13 x 73

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

LCM = 24299145 = 3 x 3 x 5 x 13 x 73 x 569

Step 4: Therefore, the least common multiple of 8535 and 8541 is 24299145.