Least Common Multiple of 516 and 520

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 520 the smallest integer that is 67080 that is divisible by both numbers.

Least Common Multiple (LCM) of 516 and 520 is 67080.

LCM(516,520) = 67080

LCM of 516 and 520

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

LCM of:
and

Least Common Multiple of 516 and 520

LCM of 516 and 520 is 67080

Least common multiple can be found by multiplying the highest exponent prime factors of 516 and 520. First we will calculate the prime factors of 516 and 520.

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 520


2 520
2 260
2 130
5 65
13 13
1

Prime factors of 520 are 2, 5,13. Prime factorization of 520 in exponential form is:

520 = 23×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 516 and 520.

LCM(516,520) = 23×31×51×131×431
LCM(516,520) = 67080

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 520

List of positive integer factors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Least Common Multiple of 516 and 520 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 520, than apply into the LCM equation.

GCF(516,520) = 4
LCM(516,520) = ( 516 × 520) / 4
LCM(516,520) = 268320 / 4
LCM(516,520) = 67080

Properties of LCM 516 and 520

(i) The LCM of 520 and 516 is associative

LCM of 516 and 520 = LCM of 520 and 516

Related Least Common Multiples of 516

Related Least Common Multiples of 520

Frequently Asked Questions on LCM of 516 and 520

1. What is the LCM of 516 and 520?

Answer: LCM of 516 and 520 is 67080.

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 520?

Answer: Factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520. There are 16 integers that are factors of 520. The greatest factor of 520 is 520.

4. How to Find the LCM of 516 and 520?

Answer:

Least Common Multiple of 516 and 520 = 67080

Step 1: Find the prime factorization of 516

516 = 2 x 2 x 3 x 43

Step 2: Find the prime factorization of 520

520 = 2 x 2 x 2 x 5 x 13

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

LCM = 67080 = 2 x 2 x 2 x 3 x 5 x 13 x 43

Step 4: Therefore, the least common multiple of 516 and 520 is 67080.