Least Common Multiple of 8527 and 8535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8527 and 8535 the smallest integer that is 72777945 that is divisible by both numbers.

Least Common Multiple (LCM) of 8527 and 8535 is 72777945.

LCM(8527,8535) = 72777945

LCM of 8527 and 8535

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

LCM of:
and

Least Common Multiple of 8527 and 8535

LCM of 8527 and 8535 is 72777945

Least common multiple can be found by multiplying the highest exponent prime factors of 8527 and 8535. First we will calculate the prime factors of 8527 and 8535.

Prime Factorization of 8527


8527 8527
1

Prime factors of 8527 are 8527. Prime factorization of 8527 in exponential form is:

8527 = 85271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8527 and 8535.

LCM(8527,8535) = 31×51×5691×85271
LCM(8527,8535) = 72777945

Factors of 8527

List of positive integer factors of 8527 that divides 8527 without a remainder.

1, 8527

Factors of 8535

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

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

Least Common Multiple of 8527 and 8535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8527 and 8535, than apply into the LCM equation.

GCF(8527,8535) = 1
LCM(8527,8535) = ( 8527 × 8535) / 1
LCM(8527,8535) = 72777945 / 1
LCM(8527,8535) = 72777945

Properties of LCM 8527 and 8535

(i) The LCM of 8535 and 8527 is associative

LCM of 8527 and 8535 = LCM of 8535 and 8527

Related Least Common Multiples of 8527

Related Least Common Multiples of 8535

Frequently Asked Questions on LCM of 8527 and 8535

1. What is the LCM of 8527 and 8535?

Answer: LCM of 8527 and 8535 is 72777945.

2. What are the Factors of 8527?

Answer: Factors of 8527 are 1, 8527. There are 2 integers that are factors of 8527. The greatest factor of 8527 is 8527.

3. 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.

4. How to Find the LCM of 8527 and 8535?

Answer:

Least Common Multiple of 8527 and 8535 = 72777945

Step 1: Find the prime factorization of 8527

8527 = 8527

Step 2: Find the prime factorization of 8535

8535 = 3 x 5 x 569

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

LCM = 72777945 = 3 x 5 x 569 x 8527

Step 4: Therefore, the least common multiple of 8527 and 8535 is 72777945.