Least Common Multiple of 8535 and 8542

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 8542 the smallest integer that is 72905970 that is divisible by both numbers.

Least Common Multiple (LCM) of 8535 and 8542 is 72905970.

LCM(8535,8542) = 72905970

LCM of 8535 and 8542

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

LCM of:
and

Least Common Multiple of 8535 and 8542

LCM of 8535 and 8542 is 72905970

Least common multiple can be found by multiplying the highest exponent prime factors of 8535 and 8542. First we will calculate the prime factors of 8535 and 8542.

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 8542


2 8542
4271 4271
1

Prime factors of 8542 are 2,4271. Prime factorization of 8542 in exponential form is:

8542 = 21×42711

Now multiplying the highest exponent prime factors to calculate the LCM of 8535 and 8542.

LCM(8535,8542) = 21×31×51×5691×42711
LCM(8535,8542) = 72905970

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 8542

List of positive integer factors of 8542 that divides 8542 without a remainder.

1, 2, 4271, 8542

Least Common Multiple of 8535 and 8542 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 8542, than apply into the LCM equation.

GCF(8535,8542) = 1
LCM(8535,8542) = ( 8535 × 8542) / 1
LCM(8535,8542) = 72905970 / 1
LCM(8535,8542) = 72905970

Properties of LCM 8535 and 8542

(i) The LCM of 8542 and 8535 is associative

LCM of 8535 and 8542 = LCM of 8542 and 8535

Related Least Common Multiples of 8535

Related Least Common Multiples of 8542

Frequently Asked Questions on LCM of 8535 and 8542

1. What is the LCM of 8535 and 8542?

Answer: LCM of 8535 and 8542 is 72905970.

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 8542?

Answer: Factors of 8542 are 1, 2, 4271, 8542. There are 4 integers that are factors of 8542. The greatest factor of 8542 is 8542.

4. How to Find the LCM of 8535 and 8542?

Answer:

Least Common Multiple of 8535 and 8542 = 72905970

Step 1: Find the prime factorization of 8535

8535 = 3 x 5 x 569

Step 2: Find the prime factorization of 8542

8542 = 2 x 4271

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

LCM = 72905970 = 2 x 3 x 5 x 569 x 4271

Step 4: Therefore, the least common multiple of 8535 and 8542 is 72905970.