Least Common Multiple of 8521 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 8521 and 8528 the smallest integer that is 72667088 that is divisible by both numbers.

Least Common Multiple (LCM) of 8521 and 8528 is 72667088.

LCM(8521,8528) = 72667088

LCM of 8521 and 8528

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

LCM of:
and

Least Common Multiple of 8521 and 8528

LCM of 8521 and 8528 is 72667088

Least common multiple can be found by multiplying the highest exponent prime factors of 8521 and 8528. First we will calculate the prime factors of 8521 and 8528.

Prime Factorization of 8521


8521 8521
1

Prime factors of 8521 are 8521. Prime factorization of 8521 in exponential form is:

8521 = 85211

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 8521 and 8528.

LCM(8521,8528) = 24×131×411×85211
LCM(8521,8528) = 72667088

Factors of 8521

List of positive integer factors of 8521 that divides 8521 without a remainder.

1, 8521

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 8521 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 8521 and 8528, than apply into the LCM equation.

GCF(8521,8528) = 1
LCM(8521,8528) = ( 8521 × 8528) / 1
LCM(8521,8528) = 72667088 / 1
LCM(8521,8528) = 72667088

Properties of LCM 8521 and 8528

(i) The LCM of 8528 and 8521 is associative

LCM of 8521 and 8528 = LCM of 8528 and 8521

Related Least Common Multiples of 8521

Related Least Common Multiples of 8528

Frequently Asked Questions on LCM of 8521 and 8528

1. What is the LCM of 8521 and 8528?

Answer: LCM of 8521 and 8528 is 72667088.

2. What are the Factors of 8521?

Answer: Factors of 8521 are 1, 8521. There are 2 integers that are factors of 8521. The greatest factor of 8521 is 8521.

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 8521 and 8528?

Answer:

Least Common Multiple of 8521 and 8528 = 72667088

Step 1: Find the prime factorization of 8521

8521 = 8521

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 = 72667088 = 2 x 2 x 2 x 2 x 13 x 41 x 8521

Step 4: Therefore, the least common multiple of 8521 and 8528 is 72667088.