Least Common Multiple of 8535 and 8539

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 8539 the smallest integer that is 72880365 that is divisible by both numbers.

Least Common Multiple (LCM) of 8535 and 8539 is 72880365.

LCM(8535,8539) = 72880365

LCM of 8535 and 8539

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

LCM of:
and

Least Common Multiple of 8535 and 8539

LCM of 8535 and 8539 is 72880365

Least common multiple can be found by multiplying the highest exponent prime factors of 8535 and 8539. First we will calculate the prime factors of 8535 and 8539.

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 8539


8539 8539
1

Prime factors of 8539 are 8539. Prime factorization of 8539 in exponential form is:

8539 = 85391

Now multiplying the highest exponent prime factors to calculate the LCM of 8535 and 8539.

LCM(8535,8539) = 31×51×5691×85391
LCM(8535,8539) = 72880365

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 8539

List of positive integer factors of 8539 that divides 8539 without a remainder.

1, 8539

Least Common Multiple of 8535 and 8539 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 8539, than apply into the LCM equation.

GCF(8535,8539) = 1
LCM(8535,8539) = ( 8535 × 8539) / 1
LCM(8535,8539) = 72880365 / 1
LCM(8535,8539) = 72880365

Properties of LCM 8535 and 8539

(i) The LCM of 8539 and 8535 is associative

LCM of 8535 and 8539 = LCM of 8539 and 8535

Related Least Common Multiples of 8535

Related Least Common Multiples of 8539

Frequently Asked Questions on LCM of 8535 and 8539

1. What is the LCM of 8535 and 8539?

Answer: LCM of 8535 and 8539 is 72880365.

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 8539?

Answer: Factors of 8539 are 1, 8539. There are 2 integers that are factors of 8539. The greatest factor of 8539 is 8539.

4. How to Find the LCM of 8535 and 8539?

Answer:

Least Common Multiple of 8535 and 8539 = 72880365

Step 1: Find the prime factorization of 8535

8535 = 3 x 5 x 569

Step 2: Find the prime factorization of 8539

8539 = 8539

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

LCM = 72880365 = 3 x 5 x 569 x 8539

Step 4: Therefore, the least common multiple of 8535 and 8539 is 72880365.