Least Common Multiple of 8521 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 8521 and 8529 the smallest integer that is 72675609 that is divisible by both numbers.

Least Common Multiple (LCM) of 8521 and 8529 is 72675609.

LCM(8521,8529) = 72675609

LCM of 8521 and 8529

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

LCM of:
and

Least Common Multiple of 8521 and 8529

LCM of 8521 and 8529 is 72675609

Least common multiple can be found by multiplying the highest exponent prime factors of 8521 and 8529. First we will calculate the prime factors of 8521 and 8529.

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 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 8521 and 8529.

LCM(8521,8529) = 31×28431×85211
LCM(8521,8529) = 72675609

Factors of 8521

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

1, 8521

Factors of 8529

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

1, 3, 2843, 8529

Least Common Multiple of 8521 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 8521 and 8529, than apply into the LCM equation.

GCF(8521,8529) = 1
LCM(8521,8529) = ( 8521 × 8529) / 1
LCM(8521,8529) = 72675609 / 1
LCM(8521,8529) = 72675609

Properties of LCM 8521 and 8529

(i) The LCM of 8529 and 8521 is associative

LCM of 8521 and 8529 = LCM of 8529 and 8521

Related Least Common Multiples of 8521

Related Least Common Multiples of 8529

Frequently Asked Questions on LCM of 8521 and 8529

1. What is the LCM of 8521 and 8529?

Answer: LCM of 8521 and 8529 is 72675609.

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 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 8521 and 8529?

Answer:

Least Common Multiple of 8521 and 8529 = 72675609

Step 1: Find the prime factorization of 8521

8521 = 8521

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 = 72675609 = 3 x 2843 x 8521

Step 4: Therefore, the least common multiple of 8521 and 8529 is 72675609.