Least Common Multiple of 8518 and 8525

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 8525 the smallest integer that is 72615950 that is divisible by both numbers.

Least Common Multiple (LCM) of 8518 and 8525 is 72615950.

LCM(8518,8525) = 72615950

LCM of 8518 and 8525

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

LCM of:
and

Least Common Multiple of 8518 and 8525

LCM of 8518 and 8525 is 72615950

Least common multiple can be found by multiplying the highest exponent prime factors of 8518 and 8525. First we will calculate the prime factors of 8518 and 8525.

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 8525


5 8525
5 1705
11 341
31 31
1

Prime factors of 8525 are 5, 11,31. Prime factorization of 8525 in exponential form is:

8525 = 52×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 8518 and 8525.

LCM(8518,8525) = 21×52×111×311×42591
LCM(8518,8525) = 72615950

Factors of 8518

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

1, 2, 4259, 8518

Factors of 8525

List of positive integer factors of 8525 that divides 8525 without a remainder.

1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705, 8525

Least Common Multiple of 8518 and 8525 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 8525, than apply into the LCM equation.

GCF(8518,8525) = 1
LCM(8518,8525) = ( 8518 × 8525) / 1
LCM(8518,8525) = 72615950 / 1
LCM(8518,8525) = 72615950

Properties of LCM 8518 and 8525

(i) The LCM of 8525 and 8518 is associative

LCM of 8518 and 8525 = LCM of 8525 and 8518

Related Least Common Multiples of 8518

Related Least Common Multiples of 8525

Frequently Asked Questions on LCM of 8518 and 8525

1. What is the LCM of 8518 and 8525?

Answer: LCM of 8518 and 8525 is 72615950.

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 8525?

Answer: Factors of 8525 are 1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705, 8525. There are 12 integers that are factors of 8525. The greatest factor of 8525 is 8525.

4. How to Find the LCM of 8518 and 8525?

Answer:

Least Common Multiple of 8518 and 8525 = 72615950

Step 1: Find the prime factorization of 8518

8518 = 2 x 4259

Step 2: Find the prime factorization of 8525

8525 = 5 x 5 x 11 x 31

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

LCM = 72615950 = 2 x 5 x 5 x 11 x 31 x 4259

Step 4: Therefore, the least common multiple of 8518 and 8525 is 72615950.