Least Common Multiple of 517 and 524

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 524 the smallest integer that is 270908 that is divisible by both numbers.

Least Common Multiple (LCM) of 517 and 524 is 270908.

LCM(517,524) = 270908

LCM of 517 and 524

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

LCM of:
and

Least Common Multiple of 517 and 524

LCM of 517 and 524 is 270908

Least common multiple can be found by multiplying the highest exponent prime factors of 517 and 524. First we will calculate the prime factors of 517 and 524.

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 524


2 524
2 262
131 131
1

Prime factors of 524 are 2,131. Prime factorization of 524 in exponential form is:

524 = 22×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 517 and 524.

LCM(517,524) = 22×111×471×1311
LCM(517,524) = 270908

Factors of 517

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

1, 11, 47, 517

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Least Common Multiple of 517 and 524 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 524, than apply into the LCM equation.

GCF(517,524) = 1
LCM(517,524) = ( 517 × 524) / 1
LCM(517,524) = 270908 / 1
LCM(517,524) = 270908

Properties of LCM 517 and 524

(i) The LCM of 524 and 517 is associative

LCM of 517 and 524 = LCM of 524 and 517

Related Least Common Multiples of 517

Related Least Common Multiples of 524

Frequently Asked Questions on LCM of 517 and 524

1. What is the LCM of 517 and 524?

Answer: LCM of 517 and 524 is 270908.

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 524?

Answer: Factors of 524 are 1, 2, 4, 131, 262, 524. There are 6 integers that are factors of 524. The greatest factor of 524 is 524.

4. How to Find the LCM of 517 and 524?

Answer:

Least Common Multiple of 517 and 524 = 270908

Step 1: Find the prime factorization of 517

517 = 11 x 47

Step 2: Find the prime factorization of 524

524 = 2 x 2 x 131

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

LCM = 270908 = 2 x 2 x 11 x 47 x 131

Step 4: Therefore, the least common multiple of 517 and 524 is 270908.