Least Common Multiple of 516 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 516 and 518 the smallest integer that is 133644 that is divisible by both numbers.

Least Common Multiple (LCM) of 516 and 518 is 133644.

LCM(516,518) = 133644

LCM of 516 and 518

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

LCM of:
and

Least Common Multiple of 516 and 518

LCM of 516 and 518 is 133644

Least common multiple can be found by multiplying the highest exponent prime factors of 516 and 518. First we will calculate the prime factors of 516 and 518.

Prime Factorization of 516


2 516
2 258
3 129
43 43
1

Prime factors of 516 are 2, 3,43. Prime factorization of 516 in exponential form is:

516 = 22×31×431

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 516 and 518.

LCM(516,518) = 22×31×71×371×431
LCM(516,518) = 133644

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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 516 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 516 and 518, than apply into the LCM equation.

GCF(516,518) = 2
LCM(516,518) = ( 516 × 518) / 2
LCM(516,518) = 267288 / 2
LCM(516,518) = 133644

Properties of LCM 516 and 518

(i) The LCM of 518 and 516 is associative

LCM of 516 and 518 = LCM of 518 and 516

Related Least Common Multiples of 516

Related Least Common Multiples of 518

Frequently Asked Questions on LCM of 516 and 518

1. What is the LCM of 516 and 518?

Answer: LCM of 516 and 518 is 133644.

2. What are the Factors of 516?

Answer: Factors of 516 are 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516. There are 12 integers that are factors of 516. The greatest factor of 516 is 516.

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 516 and 518?

Answer:

Least Common Multiple of 516 and 518 = 133644

Step 1: Find the prime factorization of 516

516 = 2 x 2 x 3 x 43

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 = 133644 = 2 x 2 x 3 x 7 x 37 x 43

Step 4: Therefore, the least common multiple of 516 and 518 is 133644.