Least Common Multiple of 518 and 524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 518 and 524 the smallest integer that is 135716 that is divisible by both numbers.

Least Common Multiple (LCM) of 518 and 524 is 135716.

LCM(518,524) = 135716

LCM of 518 and 524

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

LCM of:
and

Least Common Multiple of 518 and 524

LCM of 518 and 524 is 135716

Least common multiple can be found by multiplying the highest exponent prime factors of 518 and 524. First we will calculate the prime factors of 518 and 524.

Prime Factorization of 518


2 518
7 259
37 37
1

Prime factors of 518 are 2, 7,37. Prime factorization of 518 in exponential form is:

518 = 21×71×371

Prime Factorization of 524


2 524
2 262
131 131
1

Prime factors of 524 are 2,131. Prime factorization of 524 in exponential form is:

524 = 22×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 518 and 524.

LCM(518,524) = 22×71×371×1311
LCM(518,524) = 135716

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Least Common Multiple of 518 and 524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 518 and 524, than apply into the LCM equation.

GCF(518,524) = 2
LCM(518,524) = ( 518 × 524) / 2
LCM(518,524) = 271432 / 2
LCM(518,524) = 135716

Properties of LCM 518 and 524

(i) The LCM of 524 and 518 is associative

LCM of 518 and 524 = LCM of 524 and 518

Related Least Common Multiples of 518

Related Least Common Multiples of 524

Frequently Asked Questions on LCM of 518 and 524

1. What is the LCM of 518 and 524?

Answer: LCM of 518 and 524 is 135716.

2. What are the Factors of 518?

Answer: Factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518. There are 8 integers that are factors of 518. The greatest factor of 518 is 518.

3. What are the Factors of 524?

Answer: Factors of 524 are 1, 2, 4, 131, 262, 524. There are 6 integers that are factors of 524. The greatest factor of 524 is 524.

4. How to Find the LCM of 518 and 524?

Answer:

Least Common Multiple of 518 and 524 = 135716

Step 1: Find the prime factorization of 518

518 = 2 x 7 x 37

Step 2: Find the prime factorization of 524

524 = 2 x 2 x 131

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

LCM = 135716 = 2 x 2 x 7 x 37 x 131

Step 4: Therefore, the least common multiple of 518 and 524 is 135716.