Least Common Multiple of 517 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 517 and 518 the smallest integer that is 267806 that is divisible by both numbers.

Least Common Multiple (LCM) of 517 and 518 is 267806.

LCM(517,518) = 267806

LCM of 517 and 518

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

LCM of:
and

Least Common Multiple of 517 and 518

LCM of 517 and 518 is 267806

Least common multiple can be found by multiplying the highest exponent prime factors of 517 and 518. First we will calculate the prime factors of 517 and 518.

Prime Factorization of 517


11 517
47 47
1

Prime factors of 517 are 11,47. Prime factorization of 517 in exponential form is:

517 = 111×471

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 517 and 518.

LCM(517,518) = 21×71×111×371×471
LCM(517,518) = 267806

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1, 11, 47, 517

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 517 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 517 and 518, than apply into the LCM equation.

GCF(517,518) = 1
LCM(517,518) = ( 517 × 518) / 1
LCM(517,518) = 267806 / 1
LCM(517,518) = 267806

Properties of LCM 517 and 518

(i) The LCM of 518 and 517 is associative

LCM of 517 and 518 = LCM of 518 and 517

Related Least Common Multiples of 517

Related Least Common Multiples of 518

Frequently Asked Questions on LCM of 517 and 518

1. What is the LCM of 517 and 518?

Answer: LCM of 517 and 518 is 267806.

2. What are the Factors of 517?

Answer: Factors of 517 are 1, 11, 47, 517. There are 4 integers that are factors of 517. The greatest factor of 517 is 517.

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 517 and 518?

Answer:

Least Common Multiple of 517 and 518 = 267806

Step 1: Find the prime factorization of 517

517 = 11 x 47

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 = 267806 = 2 x 7 x 11 x 37 x 47

Step 4: Therefore, the least common multiple of 517 and 518 is 267806.