Least Common Multiple of 8520 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 8520 and 8528 the smallest integer that is 9082320 that is divisible by both numbers.

Least Common Multiple (LCM) of 8520 and 8528 is 9082320.

LCM(8520,8528) = 9082320

LCM of 8520 and 8528

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

LCM of:
and

Least Common Multiple of 8520 and 8528

LCM of 8520 and 8528 is 9082320

Least common multiple can be found by multiplying the highest exponent prime factors of 8520 and 8528. First we will calculate the prime factors of 8520 and 8528.

Prime Factorization of 8520


2 8520
2 4260
2 2130
3 1065
5 355
71 71
1

Prime factors of 8520 are 2, 3, 5,71. Prime factorization of 8520 in exponential form is:

8520 = 23×31×51×711

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 8520 and 8528.

LCM(8520,8528) = 24×31×51×131×411×711
LCM(8520,8528) = 9082320

Factors of 8520

List of positive integer factors of 8520 that divides 8520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260, 8520

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 8520 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 8520 and 8528, than apply into the LCM equation.

GCF(8520,8528) = 8
LCM(8520,8528) = ( 8520 × 8528) / 8
LCM(8520,8528) = 72658560 / 8
LCM(8520,8528) = 9082320

Properties of LCM 8520 and 8528

(i) The LCM of 8528 and 8520 is associative

LCM of 8520 and 8528 = LCM of 8528 and 8520

Related Least Common Multiples of 8520

Related Least Common Multiples of 8528

Frequently Asked Questions on LCM of 8520 and 8528

1. What is the LCM of 8520 and 8528?

Answer: LCM of 8520 and 8528 is 9082320.

2. What are the Factors of 8520?

Answer: Factors of 8520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260, 8520. There are 32 integers that are factors of 8520. The greatest factor of 8520 is 8520.

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 8520 and 8528?

Answer:

Least Common Multiple of 8520 and 8528 = 9082320

Step 1: Find the prime factorization of 8520

8520 = 2 x 2 x 2 x 3 x 5 x 71

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 = 9082320 = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 41 x 71

Step 4: Therefore, the least common multiple of 8520 and 8528 is 9082320.