Least Common Multiple of 8518 and 8526

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 8526 the smallest integer that is 36312234 that is divisible by both numbers.

Least Common Multiple (LCM) of 8518 and 8526 is 36312234.

LCM(8518,8526) = 36312234

LCM of 8518 and 8526

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

LCM of:
and

Least Common Multiple of 8518 and 8526

LCM of 8518 and 8526 is 36312234

Least common multiple can be found by multiplying the highest exponent prime factors of 8518 and 8526. First we will calculate the prime factors of 8518 and 8526.

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 8526


2 8526
3 4263
7 1421
7 203
29 29
1

Prime factors of 8526 are 2, 3, 7,29. Prime factorization of 8526 in exponential form is:

8526 = 21×31×72×291

Now multiplying the highest exponent prime factors to calculate the LCM of 8518 and 8526.

LCM(8518,8526) = 21×31×72×291×42591
LCM(8518,8526) = 36312234

Factors of 8518

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

1, 2, 4259, 8518

Factors of 8526

List of positive integer factors of 8526 that divides 8526 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 406, 609, 1218, 1421, 2842, 4263, 8526

Least Common Multiple of 8518 and 8526 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 8526, than apply into the LCM equation.

GCF(8518,8526) = 2
LCM(8518,8526) = ( 8518 × 8526) / 2
LCM(8518,8526) = 72624468 / 2
LCM(8518,8526) = 36312234

Properties of LCM 8518 and 8526

(i) The LCM of 8526 and 8518 is associative

LCM of 8518 and 8526 = LCM of 8526 and 8518

Related Least Common Multiples of 8518

Related Least Common Multiples of 8526

Frequently Asked Questions on LCM of 8518 and 8526

1. What is the LCM of 8518 and 8526?

Answer: LCM of 8518 and 8526 is 36312234.

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 8526?

Answer: Factors of 8526 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 406, 609, 1218, 1421, 2842, 4263, 8526. There are 24 integers that are factors of 8526. The greatest factor of 8526 is 8526.

4. How to Find the LCM of 8518 and 8526?

Answer:

Least Common Multiple of 8518 and 8526 = 36312234

Step 1: Find the prime factorization of 8518

8518 = 2 x 4259

Step 2: Find the prime factorization of 8526

8526 = 2 x 3 x 7 x 7 x 29

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

LCM = 36312234 = 2 x 3 x 7 x 7 x 29 x 4259

Step 4: Therefore, the least common multiple of 8518 and 8526 is 36312234.