Least Common Multiple of 517 and 521

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 521 the smallest integer that is 269357 that is divisible by both numbers.

Least Common Multiple (LCM) of 517 and 521 is 269357.

LCM(517,521) = 269357

LCM of 517 and 521

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

LCM of:
and

Least Common Multiple of 517 and 521

LCM of 517 and 521 is 269357

Least common multiple can be found by multiplying the highest exponent prime factors of 517 and 521. First we will calculate the prime factors of 517 and 521.

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 521


521 521
1

Prime factors of 521 are 521. Prime factorization of 521 in exponential form is:

521 = 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 517 and 521.

LCM(517,521) = 111×471×5211
LCM(517,521) = 269357

Factors of 517

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

1, 11, 47, 517

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1, 521

Least Common Multiple of 517 and 521 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 521, than apply into the LCM equation.

GCF(517,521) = 1
LCM(517,521) = ( 517 × 521) / 1
LCM(517,521) = 269357 / 1
LCM(517,521) = 269357

Properties of LCM 517 and 521

(i) The LCM of 521 and 517 is associative

LCM of 517 and 521 = LCM of 521 and 517

Related Least Common Multiples of 517

Related Least Common Multiples of 521

Frequently Asked Questions on LCM of 517 and 521

1. What is the LCM of 517 and 521?

Answer: LCM of 517 and 521 is 269357.

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 521?

Answer: Factors of 521 are 1, 521. There are 2 integers that are factors of 521. The greatest factor of 521 is 521.

4. How to Find the LCM of 517 and 521?

Answer:

Least Common Multiple of 517 and 521 = 269357

Step 1: Find the prime factorization of 517

517 = 11 x 47

Step 2: Find the prime factorization of 521

521 = 521

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

LCM = 269357 = 11 x 47 x 521

Step 4: Therefore, the least common multiple of 517 and 521 is 269357.