Least Common Multiple of 503 and 509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 503 and 509 the smallest integer that is 256027 that is divisible by both numbers.

Least Common Multiple (LCM) of 503 and 509 is 256027.

LCM(503,509) = 256027

LCM of 503 and 509

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

LCM of:
and

Least Common Multiple of 503 and 509

LCM of 503 and 509 is 256027

Least common multiple can be found by multiplying the highest exponent prime factors of 503 and 509. First we will calculate the prime factors of 503 and 509.

Prime Factorization of 503


503 503
1

Prime factors of 503 are 503. Prime factorization of 503 in exponential form is:

503 = 5031

Prime Factorization of 509


509 509
1

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

509 = 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 503 and 509.

LCM(503,509) = 5031×5091
LCM(503,509) = 256027

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1, 503

Factors of 509

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

1, 509

Least Common Multiple of 503 and 509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 503 and 509, than apply into the LCM equation.

GCF(503,509) = 1
LCM(503,509) = ( 503 × 509) / 1
LCM(503,509) = 256027 / 1
LCM(503,509) = 256027

Properties of LCM 503 and 509

(i) The LCM of 509 and 503 is associative

LCM of 503 and 509 = LCM of 509 and 503

Related Least Common Multiples of 503

Related Least Common Multiples of 509

Frequently Asked Questions on LCM of 503 and 509

1. What is the LCM of 503 and 509?

Answer: LCM of 503 and 509 is 256027.

2. What are the Factors of 503?

Answer: Factors of 503 are 1, 503. There are 2 integers that are factors of 503. The greatest factor of 503 is 503.

3. 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.

4. How to Find the LCM of 503 and 509?

Answer:

Least Common Multiple of 503 and 509 = 256027

Step 1: Find the prime factorization of 503

503 = 503

Step 2: Find the prime factorization of 509

509 = 509

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

LCM = 256027 = 503 x 509

Step 4: Therefore, the least common multiple of 503 and 509 is 256027.