Least Common Multiple of 517 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 517 and 520 the smallest integer that is 268840 that is divisible by both numbers.

Least Common Multiple (LCM) of 517 and 520 is 268840.

LCM(517,520) = 268840

LCM of 517 and 520

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

LCM of:
and

Least Common Multiple of 517 and 520

LCM of 517 and 520 is 268840

Least common multiple can be found by multiplying the highest exponent prime factors of 517 and 520. First we will calculate the prime factors of 517 and 520.

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 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 517 and 520.

LCM(517,520) = 23×51×111×131×471
LCM(517,520) = 268840

Factors of 517

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

1, 11, 47, 517

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 517 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 517 and 520, than apply into the LCM equation.

GCF(517,520) = 1
LCM(517,520) = ( 517 × 520) / 1
LCM(517,520) = 268840 / 1
LCM(517,520) = 268840

Properties of LCM 517 and 520

(i) The LCM of 520 and 517 is associative

LCM of 517 and 520 = LCM of 520 and 517

Related Least Common Multiples of 517

Related Least Common Multiples of 520

Frequently Asked Questions on LCM of 517 and 520

1. What is the LCM of 517 and 520?

Answer: LCM of 517 and 520 is 268840.

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 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 517 and 520?

Answer:

Least Common Multiple of 517 and 520 = 268840

Step 1: Find the prime factorization of 517

517 = 11 x 47

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 = 268840 = 2 x 2 x 2 x 5 x 11 x 13 x 47

Step 4: Therefore, the least common multiple of 517 and 520 is 268840.