Least Common Multiple of 518 and 523

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 523 the smallest integer that is 270914 that is divisible by both numbers.

Least Common Multiple (LCM) of 518 and 523 is 270914.

LCM(518,523) = 270914

LCM of 518 and 523

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

LCM of:
and

Least Common Multiple of 518 and 523

LCM of 518 and 523 is 270914

Least common multiple can be found by multiplying the highest exponent prime factors of 518 and 523. First we will calculate the prime factors of 518 and 523.

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 523


523 523
1

Prime factors of 523 are 523. Prime factorization of 523 in exponential form is:

523 = 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 518 and 523.

LCM(518,523) = 21×71×371×5231
LCM(518,523) = 270914

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 523

List of positive integer factors of 523 that divides 523 without a remainder.

1, 523

Least Common Multiple of 518 and 523 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 523, than apply into the LCM equation.

GCF(518,523) = 1
LCM(518,523) = ( 518 × 523) / 1
LCM(518,523) = 270914 / 1
LCM(518,523) = 270914

Properties of LCM 518 and 523

(i) The LCM of 523 and 518 is associative

LCM of 518 and 523 = LCM of 523 and 518

Related Least Common Multiples of 518

Related Least Common Multiples of 523

Frequently Asked Questions on LCM of 518 and 523

1. What is the LCM of 518 and 523?

Answer: LCM of 518 and 523 is 270914.

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 523?

Answer: Factors of 523 are 1, 523. There are 2 integers that are factors of 523. The greatest factor of 523 is 523.

4. How to Find the LCM of 518 and 523?

Answer:

Least Common Multiple of 518 and 523 = 270914

Step 1: Find the prime factorization of 518

518 = 2 x 7 x 37

Step 2: Find the prime factorization of 523

523 = 523

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

LCM = 270914 = 2 x 7 x 37 x 523

Step 4: Therefore, the least common multiple of 518 and 523 is 270914.