Least Common Multiple of 513 and 517

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 517 the smallest integer that is 265221 that is divisible by both numbers.

Least Common Multiple (LCM) of 513 and 517 is 265221.

LCM(513,517) = 265221

LCM of 513 and 517

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

LCM of:
and

Least Common Multiple of 513 and 517

LCM of 513 and 517 is 265221

Least common multiple can be found by multiplying the highest exponent prime factors of 513 and 517. First we will calculate the prime factors of 513 and 517.

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 517


11 517
47 47
1

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

517 = 111×471

Now multiplying the highest exponent prime factors to calculate the LCM of 513 and 517.

LCM(513,517) = 33×111×191×471
LCM(513,517) = 265221

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 517

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

1, 11, 47, 517

Least Common Multiple of 513 and 517 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 517, than apply into the LCM equation.

GCF(513,517) = 1
LCM(513,517) = ( 513 × 517) / 1
LCM(513,517) = 265221 / 1
LCM(513,517) = 265221

Properties of LCM 513 and 517

(i) The LCM of 517 and 513 is associative

LCM of 513 and 517 = LCM of 517 and 513

Related Least Common Multiples of 513

Related Least Common Multiples of 517

Frequently Asked Questions on LCM of 513 and 517

1. What is the LCM of 513 and 517?

Answer: LCM of 513 and 517 is 265221.

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 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.

4. How to Find the LCM of 513 and 517?

Answer:

Least Common Multiple of 513 and 517 = 265221

Step 1: Find the prime factorization of 513

513 = 3 x 3 x 3 x 19

Step 2: Find the prime factorization of 517

517 = 11 x 47

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

LCM = 265221 = 3 x 3 x 3 x 11 x 19 x 47

Step 4: Therefore, the least common multiple of 513 and 517 is 265221.