Least Common Multiple of 8518 and 8523

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 8523 the smallest integer that is 72598914 that is divisible by both numbers.

Least Common Multiple (LCM) of 8518 and 8523 is 72598914.

LCM(8518,8523) = 72598914

LCM of 8518 and 8523

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

LCM of:
and

Least Common Multiple of 8518 and 8523

LCM of 8518 and 8523 is 72598914

Least common multiple can be found by multiplying the highest exponent prime factors of 8518 and 8523. First we will calculate the prime factors of 8518 and 8523.

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 8523


3 8523
3 2841
947 947
1

Prime factors of 8523 are 3,947. Prime factorization of 8523 in exponential form is:

8523 = 32×9471

Now multiplying the highest exponent prime factors to calculate the LCM of 8518 and 8523.

LCM(8518,8523) = 21×32×9471×42591
LCM(8518,8523) = 72598914

Factors of 8518

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

1, 2, 4259, 8518

Factors of 8523

List of positive integer factors of 8523 that divides 8523 without a remainder.

1, 3, 9, 947, 2841, 8523

Least Common Multiple of 8518 and 8523 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 8523, than apply into the LCM equation.

GCF(8518,8523) = 1
LCM(8518,8523) = ( 8518 × 8523) / 1
LCM(8518,8523) = 72598914 / 1
LCM(8518,8523) = 72598914

Properties of LCM 8518 and 8523

(i) The LCM of 8523 and 8518 is associative

LCM of 8518 and 8523 = LCM of 8523 and 8518

Related Least Common Multiples of 8518

Related Least Common Multiples of 8523

Frequently Asked Questions on LCM of 8518 and 8523

1. What is the LCM of 8518 and 8523?

Answer: LCM of 8518 and 8523 is 72598914.

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 8523?

Answer: Factors of 8523 are 1, 3, 9, 947, 2841, 8523. There are 6 integers that are factors of 8523. The greatest factor of 8523 is 8523.

4. How to Find the LCM of 8518 and 8523?

Answer:

Least Common Multiple of 8518 and 8523 = 72598914

Step 1: Find the prime factorization of 8518

8518 = 2 x 4259

Step 2: Find the prime factorization of 8523

8523 = 3 x 3 x 947

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

LCM = 72598914 = 2 x 3 x 3 x 947 x 4259

Step 4: Therefore, the least common multiple of 8518 and 8523 is 72598914.