Least Common Multiple of 517 and 523

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 523 the smallest integer that is 270391 that is divisible by both numbers.

Least Common Multiple (LCM) of 517 and 523 is 270391.

LCM(517,523) = 270391

LCM of 517 and 523

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

LCM of:
and

Least Common Multiple of 517 and 523

LCM of 517 and 523 is 270391

Least common multiple can be found by multiplying the highest exponent prime factors of 517 and 523. First we will calculate the prime factors of 517 and 523.

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 523


523 523
1

Prime factors of 523 are 523. Prime factorization of 523 in exponential form is:

523 = 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 517 and 523.

LCM(517,523) = 111×471×5231
LCM(517,523) = 270391

Factors of 517

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

1, 11, 47, 517

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1, 523

Least Common Multiple of 517 and 523 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 523, than apply into the LCM equation.

GCF(517,523) = 1
LCM(517,523) = ( 517 × 523) / 1
LCM(517,523) = 270391 / 1
LCM(517,523) = 270391

Properties of LCM 517 and 523

(i) The LCM of 523 and 517 is associative

LCM of 517 and 523 = LCM of 523 and 517

Related Least Common Multiples of 517

Related Least Common Multiples of 523

Frequently Asked Questions on LCM of 517 and 523

1. What is the LCM of 517 and 523?

Answer: LCM of 517 and 523 is 270391.

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 523?

Answer: Factors of 523 are 1, 523. There are 2 integers that are factors of 523. The greatest factor of 523 is 523.

4. How to Find the LCM of 517 and 523?

Answer:

Least Common Multiple of 517 and 523 = 270391

Step 1: Find the prime factorization of 517

517 = 11 x 47

Step 2: Find the prime factorization of 523

523 = 523

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

LCM = 270391 = 11 x 47 x 523

Step 4: Therefore, the least common multiple of 517 and 523 is 270391.