Least Common Multiple of 8517 and 8524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8517 and 8524 the smallest integer that is 72598908 that is divisible by both numbers.

Least Common Multiple (LCM) of 8517 and 8524 is 72598908.

LCM(8517,8524) = 72598908

LCM of 8517 and 8524

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

LCM of:
and

Least Common Multiple of 8517 and 8524

LCM of 8517 and 8524 is 72598908

Least common multiple can be found by multiplying the highest exponent prime factors of 8517 and 8524. First we will calculate the prime factors of 8517 and 8524.

Prime Factorization of 8517


3 8517
17 2839
167 167
1

Prime factors of 8517 are 3, 17,167. Prime factorization of 8517 in exponential form is:

8517 = 31×171×1671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8517 and 8524.

LCM(8517,8524) = 22×31×171×1671×21311
LCM(8517,8524) = 72598908

Factors of 8517

List of positive integer factors of 8517 that divides 8517 without a remainder.

1, 3, 17, 51, 167, 501, 2839, 8517

Factors of 8524

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

1, 2, 4, 2131, 4262, 8524

Least Common Multiple of 8517 and 8524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8517 and 8524, than apply into the LCM equation.

GCF(8517,8524) = 1
LCM(8517,8524) = ( 8517 × 8524) / 1
LCM(8517,8524) = 72598908 / 1
LCM(8517,8524) = 72598908

Properties of LCM 8517 and 8524

(i) The LCM of 8524 and 8517 is associative

LCM of 8517 and 8524 = LCM of 8524 and 8517

Related Least Common Multiples of 8517

Related Least Common Multiples of 8524

Frequently Asked Questions on LCM of 8517 and 8524

1. What is the LCM of 8517 and 8524?

Answer: LCM of 8517 and 8524 is 72598908.

2. What are the Factors of 8517?

Answer: Factors of 8517 are 1, 3, 17, 51, 167, 501, 2839, 8517. There are 8 integers that are factors of 8517. The greatest factor of 8517 is 8517.

3. 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.

4. How to Find the LCM of 8517 and 8524?

Answer:

Least Common Multiple of 8517 and 8524 = 72598908

Step 1: Find the prime factorization of 8517

8517 = 3 x 17 x 167

Step 2: Find the prime factorization of 8524

8524 = 2 x 2 x 2131

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

LCM = 72598908 = 2 x 2 x 3 x 17 x 167 x 2131

Step 4: Therefore, the least common multiple of 8517 and 8524 is 72598908.