Least Common Multiple of 509 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 509 and 517 the smallest integer that is 263153 that is divisible by both numbers.

Least Common Multiple (LCM) of 509 and 517 is 263153.

LCM(509,517) = 263153

LCM of 509 and 517

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

LCM of:
and

Least Common Multiple of 509 and 517

LCM of 509 and 517 is 263153

Least common multiple can be found by multiplying the highest exponent prime factors of 509 and 517. First we will calculate the prime factors of 509 and 517.

Prime Factorization of 509


509 509
1

Prime factors of 509 are 509. Prime factorization of 509 in exponential form is:

509 = 5091

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 509 and 517.

LCM(509,517) = 111×471×5091
LCM(509,517) = 263153

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1, 509

Factors of 517

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

1, 11, 47, 517

Least Common Multiple of 509 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 509 and 517, than apply into the LCM equation.

GCF(509,517) = 1
LCM(509,517) = ( 509 × 517) / 1
LCM(509,517) = 263153 / 1
LCM(509,517) = 263153

Properties of LCM 509 and 517

(i) The LCM of 517 and 509 is associative

LCM of 509 and 517 = LCM of 517 and 509

Related Least Common Multiples of 509

Related Least Common Multiples of 517

Frequently Asked Questions on LCM of 509 and 517

1. What is the LCM of 509 and 517?

Answer: LCM of 509 and 517 is 263153.

2. What are the Factors of 509?

Answer: Factors of 509 are 1, 509. There are 2 integers that are factors of 509. The greatest factor of 509 is 509.

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 509 and 517?

Answer:

Least Common Multiple of 509 and 517 = 263153

Step 1: Find the prime factorization of 509

509 = 509

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 = 263153 = 11 x 47 x 509

Step 4: Therefore, the least common multiple of 509 and 517 is 263153.