Least Common Multiple of 8524 and 8530

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 8530 the smallest integer that is 36354860 that is divisible by both numbers.

Least Common Multiple (LCM) of 8524 and 8530 is 36354860.

LCM(8524,8530) = 36354860

LCM of 8524 and 8530

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

LCM of:
and

Least Common Multiple of 8524 and 8530

LCM of 8524 and 8530 is 36354860

Least common multiple can be found by multiplying the highest exponent prime factors of 8524 and 8530. First we will calculate the prime factors of 8524 and 8530.

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 8530


2 8530
5 4265
853 853
1

Prime factors of 8530 are 2, 5,853. Prime factorization of 8530 in exponential form is:

8530 = 21×51×8531

Now multiplying the highest exponent prime factors to calculate the LCM of 8524 and 8530.

LCM(8524,8530) = 22×51×8531×21311
LCM(8524,8530) = 36354860

Factors of 8524

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

1, 2, 4, 2131, 4262, 8524

Factors of 8530

List of positive integer factors of 8530 that divides 8530 without a remainder.

1, 2, 5, 10, 853, 1706, 4265, 8530

Least Common Multiple of 8524 and 8530 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 8530, than apply into the LCM equation.

GCF(8524,8530) = 2
LCM(8524,8530) = ( 8524 × 8530) / 2
LCM(8524,8530) = 72709720 / 2
LCM(8524,8530) = 36354860

Properties of LCM 8524 and 8530

(i) The LCM of 8530 and 8524 is associative

LCM of 8524 and 8530 = LCM of 8530 and 8524

Related Least Common Multiples of 8524

Related Least Common Multiples of 8530

Frequently Asked Questions on LCM of 8524 and 8530

1. What is the LCM of 8524 and 8530?

Answer: LCM of 8524 and 8530 is 36354860.

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 8530?

Answer: Factors of 8530 are 1, 2, 5, 10, 853, 1706, 4265, 8530. There are 8 integers that are factors of 8530. The greatest factor of 8530 is 8530.

4. How to Find the LCM of 8524 and 8530?

Answer:

Least Common Multiple of 8524 and 8530 = 36354860

Step 1: Find the prime factorization of 8524

8524 = 2 x 2 x 2131

Step 2: Find the prime factorization of 8530

8530 = 2 x 5 x 853

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

LCM = 36354860 = 2 x 2 x 5 x 853 x 2131

Step 4: Therefore, the least common multiple of 8524 and 8530 is 36354860.