Least Common Multiple of 513 and 518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 513 and 518 the smallest integer that is 265734 that is divisible by both numbers.

Least Common Multiple (LCM) of 513 and 518 is 265734.

LCM(513,518) = 265734

LCM of 513 and 518

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

LCM of:
and

Least Common Multiple of 513 and 518

LCM of 513 and 518 is 265734

Least common multiple can be found by multiplying the highest exponent prime factors of 513 and 518. First we will calculate the prime factors of 513 and 518.

Prime Factorization of 513


3 513
3 171
3 57
19 19
1

Prime factors of 513 are 3,19. Prime factorization of 513 in exponential form is:

513 = 33×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 513 and 518.

LCM(513,518) = 21×33×71×191×371
LCM(513,518) = 265734

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Factors of 518

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

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

Least Common Multiple of 513 and 518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 513 and 518, than apply into the LCM equation.

GCF(513,518) = 1
LCM(513,518) = ( 513 × 518) / 1
LCM(513,518) = 265734 / 1
LCM(513,518) = 265734

Properties of LCM 513 and 518

(i) The LCM of 518 and 513 is associative

LCM of 513 and 518 = LCM of 518 and 513

Related Least Common Multiples of 513

Related Least Common Multiples of 518

Frequently Asked Questions on LCM of 513 and 518

1. What is the LCM of 513 and 518?

Answer: LCM of 513 and 518 is 265734.

2. What are the Factors of 513?

Answer: Factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513. There are 8 integers that are factors of 513. The greatest factor of 513 is 513.

3. 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.

4. How to Find the LCM of 513 and 518?

Answer:

Least Common Multiple of 513 and 518 = 265734

Step 1: Find the prime factorization of 513

513 = 3 x 3 x 3 x 19

Step 2: Find the prime factorization of 518

518 = 2 x 7 x 37

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

LCM = 265734 = 2 x 3 x 3 x 3 x 7 x 19 x 37

Step 4: Therefore, the least common multiple of 513 and 518 is 265734.