Least Common Multiple of 8518 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 8518 and 8524 the smallest integer that is 36303716 that is divisible by both numbers.

Least Common Multiple (LCM) of 8518 and 8524 is 36303716.

LCM(8518,8524) = 36303716

LCM of 8518 and 8524

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

LCM of:
and

Least Common Multiple of 8518 and 8524

LCM of 8518 and 8524 is 36303716

Least common multiple can be found by multiplying the highest exponent prime factors of 8518 and 8524. First we will calculate the prime factors of 8518 and 8524.

Prime Factorization of 8518


2 8518
4259 4259
1

Prime factors of 8518 are 2,4259. Prime factorization of 8518 in exponential form is:

8518 = 21×42591

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 8518 and 8524.

LCM(8518,8524) = 22×21311×42591
LCM(8518,8524) = 36303716

Factors of 8518

List of positive integer factors of 8518 that divides 8518 without a remainder.

1, 2, 4259, 8518

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 8518 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 8518 and 8524, than apply into the LCM equation.

GCF(8518,8524) = 2
LCM(8518,8524) = ( 8518 × 8524) / 2
LCM(8518,8524) = 72607432 / 2
LCM(8518,8524) = 36303716

Properties of LCM 8518 and 8524

(i) The LCM of 8524 and 8518 is associative

LCM of 8518 and 8524 = LCM of 8524 and 8518

Related Least Common Multiples of 8518

Related Least Common Multiples of 8524

Frequently Asked Questions on LCM of 8518 and 8524

1. What is the LCM of 8518 and 8524?

Answer: LCM of 8518 and 8524 is 36303716.

2. What are the Factors of 8518?

Answer: Factors of 8518 are 1, 2, 4259, 8518. There are 4 integers that are factors of 8518. The greatest factor of 8518 is 8518.

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 8518 and 8524?

Answer:

Least Common Multiple of 8518 and 8524 = 36303716

Step 1: Find the prime factorization of 8518

8518 = 2 x 4259

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 = 36303716 = 2 x 2 x 2131 x 4259

Step 4: Therefore, the least common multiple of 8518 and 8524 is 36303716.