Least Common Multiple of 8524 and 8529

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 8529 the smallest integer that is 72701196 that is divisible by both numbers.

Least Common Multiple (LCM) of 8524 and 8529 is 72701196.

LCM(8524,8529) = 72701196

LCM of 8524 and 8529

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

LCM of:
and

Least Common Multiple of 8524 and 8529

LCM of 8524 and 8529 is 72701196

Least common multiple can be found by multiplying the highest exponent prime factors of 8524 and 8529. First we will calculate the prime factors of 8524 and 8529.

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 8529


3 8529
2843 2843
1

Prime factors of 8529 are 3,2843. Prime factorization of 8529 in exponential form is:

8529 = 31×28431

Now multiplying the highest exponent prime factors to calculate the LCM of 8524 and 8529.

LCM(8524,8529) = 22×31×21311×28431
LCM(8524,8529) = 72701196

Factors of 8524

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

1, 2, 4, 2131, 4262, 8524

Factors of 8529

List of positive integer factors of 8529 that divides 8529 without a remainder.

1, 3, 2843, 8529

Least Common Multiple of 8524 and 8529 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 8529, than apply into the LCM equation.

GCF(8524,8529) = 1
LCM(8524,8529) = ( 8524 × 8529) / 1
LCM(8524,8529) = 72701196 / 1
LCM(8524,8529) = 72701196

Properties of LCM 8524 and 8529

(i) The LCM of 8529 and 8524 is associative

LCM of 8524 and 8529 = LCM of 8529 and 8524

Related Least Common Multiples of 8524

Related Least Common Multiples of 8529

Frequently Asked Questions on LCM of 8524 and 8529

1. What is the LCM of 8524 and 8529?

Answer: LCM of 8524 and 8529 is 72701196.

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 8529?

Answer: Factors of 8529 are 1, 3, 2843, 8529. There are 4 integers that are factors of 8529. The greatest factor of 8529 is 8529.

4. How to Find the LCM of 8524 and 8529?

Answer:

Least Common Multiple of 8524 and 8529 = 72701196

Step 1: Find the prime factorization of 8524

8524 = 2 x 2 x 2131

Step 2: Find the prime factorization of 8529

8529 = 3 x 2843

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

LCM = 72701196 = 2 x 2 x 3 x 2131 x 2843

Step 4: Therefore, the least common multiple of 8524 and 8529 is 72701196.