Least Common Multiple of 8510 and 8518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8510 and 8518 the smallest integer that is 36244090 that is divisible by both numbers.

Least Common Multiple (LCM) of 8510 and 8518 is 36244090.

LCM(8510,8518) = 36244090

LCM of 8510 and 8518

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

LCM of:
and

Least Common Multiple of 8510 and 8518

LCM of 8510 and 8518 is 36244090

Least common multiple can be found by multiplying the highest exponent prime factors of 8510 and 8518. First we will calculate the prime factors of 8510 and 8518.

Prime Factorization of 8510


2 8510
5 4255
23 851
37 37
1

Prime factors of 8510 are 2, 5, 23,37. Prime factorization of 8510 in exponential form is:

8510 = 21×51×231×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8510 and 8518.

LCM(8510,8518) = 21×51×231×371×42591
LCM(8510,8518) = 36244090

Factors of 8510

List of positive integer factors of 8510 that divides 8510 without a remainder.

1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255, 8510

Factors of 8518

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

1, 2, 4259, 8518

Least Common Multiple of 8510 and 8518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8510 and 8518, than apply into the LCM equation.

GCF(8510,8518) = 2
LCM(8510,8518) = ( 8510 × 8518) / 2
LCM(8510,8518) = 72488180 / 2
LCM(8510,8518) = 36244090

Properties of LCM 8510 and 8518

(i) The LCM of 8518 and 8510 is associative

LCM of 8510 and 8518 = LCM of 8518 and 8510

Related Least Common Multiples of 8510

Related Least Common Multiples of 8518

Frequently Asked Questions on LCM of 8510 and 8518

1. What is the LCM of 8510 and 8518?

Answer: LCM of 8510 and 8518 is 36244090.

2. What are the Factors of 8510?

Answer: Factors of 8510 are 1, 2, 5, 10, 23, 37, 46, 74, 115, 185, 230, 370, 851, 1702, 4255, 8510. There are 16 integers that are factors of 8510. The greatest factor of 8510 is 8510.

3. 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.

4. How to Find the LCM of 8510 and 8518?

Answer:

Least Common Multiple of 8510 and 8518 = 36244090

Step 1: Find the prime factorization of 8510

8510 = 2 x 5 x 23 x 37

Step 2: Find the prime factorization of 8518

8518 = 2 x 4259

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

LCM = 36244090 = 2 x 5 x 23 x 37 x 4259

Step 4: Therefore, the least common multiple of 8510 and 8518 is 36244090.