Least Common Multiple of 8528 and 8533

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 8533 the smallest integer that is 72769424 that is divisible by both numbers.

Least Common Multiple (LCM) of 8528 and 8533 is 72769424.

LCM(8528,8533) = 72769424

LCM of 8528 and 8533

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

LCM of:
and

Least Common Multiple of 8528 and 8533

LCM of 8528 and 8533 is 72769424

Least common multiple can be found by multiplying the highest exponent prime factors of 8528 and 8533. First we will calculate the prime factors of 8528 and 8533.

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 8533


7 8533
23 1219
53 53
1

Prime factors of 8533 are 7, 23,53. Prime factorization of 8533 in exponential form is:

8533 = 71×231×531

Now multiplying the highest exponent prime factors to calculate the LCM of 8528 and 8533.

LCM(8528,8533) = 24×71×131×231×411×531
LCM(8528,8533) = 72769424

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 8533

List of positive integer factors of 8533 that divides 8533 without a remainder.

1, 7, 23, 53, 161, 371, 1219, 8533

Least Common Multiple of 8528 and 8533 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 8533, than apply into the LCM equation.

GCF(8528,8533) = 1
LCM(8528,8533) = ( 8528 × 8533) / 1
LCM(8528,8533) = 72769424 / 1
LCM(8528,8533) = 72769424

Properties of LCM 8528 and 8533

(i) The LCM of 8533 and 8528 is associative

LCM of 8528 and 8533 = LCM of 8533 and 8528

Related Least Common Multiples of 8528

Related Least Common Multiples of 8533

Frequently Asked Questions on LCM of 8528 and 8533

1. What is the LCM of 8528 and 8533?

Answer: LCM of 8528 and 8533 is 72769424.

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 8533?

Answer: Factors of 8533 are 1, 7, 23, 53, 161, 371, 1219, 8533. There are 8 integers that are factors of 8533. The greatest factor of 8533 is 8533.

4. How to Find the LCM of 8528 and 8533?

Answer:

Least Common Multiple of 8528 and 8533 = 72769424

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 8533

8533 = 7 x 23 x 53

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

LCM = 72769424 = 2 x 2 x 2 x 2 x 7 x 13 x 23 x 41 x 53

Step 4: Therefore, the least common multiple of 8528 and 8533 is 72769424.