Least Common Multiple of 8528 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 8528 and 8535 the smallest integer that is 72786480 that is divisible by both numbers.

Least Common Multiple (LCM) of 8528 and 8535 is 72786480.

LCM(8528,8535) = 72786480

LCM of 8528 and 8535

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

LCM of:
and

Least Common Multiple of 8528 and 8535

LCM of 8528 and 8535 is 72786480

Least common multiple can be found by multiplying the highest exponent prime factors of 8528 and 8535. First we will calculate the prime factors of 8528 and 8535.

Prime Factorization of 8528


2 8528
2 4264
2 2132
2 1066
13 533
41 41
1

Prime factors of 8528 are 2, 13,41. Prime factorization of 8528 in exponential form is:

8528 = 24×131×411

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 8528 and 8535.

LCM(8528,8535) = 24×31×51×131×411×5691
LCM(8528,8535) = 72786480

Factors of 8528

List of positive integer factors of 8528 that divides 8528 without a remainder.

1, 2, 4, 8, 13, 16, 26, 41, 52, 82, 104, 164, 208, 328, 533, 656, 1066, 2132, 4264, 8528

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 8528 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 8528 and 8535, than apply into the LCM equation.

GCF(8528,8535) = 1
LCM(8528,8535) = ( 8528 × 8535) / 1
LCM(8528,8535) = 72786480 / 1
LCM(8528,8535) = 72786480

Properties of LCM 8528 and 8535

(i) The LCM of 8535 and 8528 is associative

LCM of 8528 and 8535 = LCM of 8535 and 8528

Related Least Common Multiples of 8528

Related Least Common Multiples of 8535

Frequently Asked Questions on LCM of 8528 and 8535

1. What is the LCM of 8528 and 8535?

Answer: LCM of 8528 and 8535 is 72786480.

2. What are the Factors of 8528?

Answer: Factors of 8528 are 1, 2, 4, 8, 13, 16, 26, 41, 52, 82, 104, 164, 208, 328, 533, 656, 1066, 2132, 4264, 8528. There are 20 integers that are factors of 8528. The greatest factor of 8528 is 8528.

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 8528 and 8535?

Answer:

Least Common Multiple of 8528 and 8535 = 72786480

Step 1: Find the prime factorization of 8528

8528 = 2 x 2 x 2 x 2 x 13 x 41

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 = 72786480 = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 41 x 569

Step 4: Therefore, the least common multiple of 8528 and 8535 is 72786480.