Least Common Multiple of 8524 and 8528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8524 and 8528 the smallest integer that is 18173168 that is divisible by both numbers.

Least Common Multiple (LCM) of 8524 and 8528 is 18173168.

LCM(8524,8528) = 18173168

LCM of 8524 and 8528

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

LCM of:
and

Least Common Multiple of 8524 and 8528

LCM of 8524 and 8528 is 18173168

Least common multiple can be found by multiplying the highest exponent prime factors of 8524 and 8528. First we will calculate the prime factors of 8524 and 8528.

Prime Factorization of 8524


2 8524
2 4262
2131 2131
1

Prime factors of 8524 are 2,2131. Prime factorization of 8524 in exponential form is:

8524 = 22×21311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8524 and 8528.

LCM(8524,8528) = 24×131×411×21311
LCM(8524,8528) = 18173168

Factors of 8524

List of positive integer factors of 8524 that divides 8524 without a remainder.

1, 2, 4, 2131, 4262, 8524

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

Least Common Multiple of 8524 and 8528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8524 and 8528, than apply into the LCM equation.

GCF(8524,8528) = 4
LCM(8524,8528) = ( 8524 × 8528) / 4
LCM(8524,8528) = 72692672 / 4
LCM(8524,8528) = 18173168

Properties of LCM 8524 and 8528

(i) The LCM of 8528 and 8524 is associative

LCM of 8524 and 8528 = LCM of 8528 and 8524

Related Least Common Multiples of 8524

Related Least Common Multiples of 8528

Frequently Asked Questions on LCM of 8524 and 8528

1. What is the LCM of 8524 and 8528?

Answer: LCM of 8524 and 8528 is 18173168.

2. What are the Factors of 8524?

Answer: Factors of 8524 are 1, 2, 4, 2131, 4262, 8524. There are 6 integers that are factors of 8524. The greatest factor of 8524 is 8524.

3. 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.

4. How to Find the LCM of 8524 and 8528?

Answer:

Least Common Multiple of 8524 and 8528 = 18173168

Step 1: Find the prime factorization of 8524

8524 = 2 x 2 x 2131

Step 2: Find the prime factorization of 8528

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

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

LCM = 18173168 = 2 x 2 x 2 x 2 x 13 x 41 x 2131

Step 4: Therefore, the least common multiple of 8524 and 8528 is 18173168.