Least Common Multiple of 517 and 522

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 522 the smallest integer that is 269874 that is divisible by both numbers.

Least Common Multiple (LCM) of 517 and 522 is 269874.

LCM(517,522) = 269874

LCM of 517 and 522

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

LCM of:
and

Least Common Multiple of 517 and 522

LCM of 517 and 522 is 269874

Least common multiple can be found by multiplying the highest exponent prime factors of 517 and 522. First we will calculate the prime factors of 517 and 522.

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 522


2 522
3 261
3 87
29 29
1

Prime factors of 522 are 2, 3,29. Prime factorization of 522 in exponential form is:

522 = 21×32×291

Now multiplying the highest exponent prime factors to calculate the LCM of 517 and 522.

LCM(517,522) = 21×32×111×291×471
LCM(517,522) = 269874

Factors of 517

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

1, 11, 47, 517

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Least Common Multiple of 517 and 522 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 522, than apply into the LCM equation.

GCF(517,522) = 1
LCM(517,522) = ( 517 × 522) / 1
LCM(517,522) = 269874 / 1
LCM(517,522) = 269874

Properties of LCM 517 and 522

(i) The LCM of 522 and 517 is associative

LCM of 517 and 522 = LCM of 522 and 517

Related Least Common Multiples of 517

Related Least Common Multiples of 522

Frequently Asked Questions on LCM of 517 and 522

1. What is the LCM of 517 and 522?

Answer: LCM of 517 and 522 is 269874.

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 522?

Answer: Factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522. There are 12 integers that are factors of 522. The greatest factor of 522 is 522.

4. How to Find the LCM of 517 and 522?

Answer:

Least Common Multiple of 517 and 522 = 269874

Step 1: Find the prime factorization of 517

517 = 11 x 47

Step 2: Find the prime factorization of 522

522 = 2 x 3 x 3 x 29

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

LCM = 269874 = 2 x 3 x 3 x 11 x 29 x 47

Step 4: Therefore, the least common multiple of 517 and 522 is 269874.