Least Common Multiple of 500 and 503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 500 and 503 the smallest integer that is 251500 that is divisible by both numbers.

Least Common Multiple (LCM) of 500 and 503 is 251500.

LCM(500,503) = 251500

LCM of 500 and 503

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

LCM of:
and

Least Common Multiple of 500 and 503

LCM of 500 and 503 is 251500

Least common multiple can be found by multiplying the highest exponent prime factors of 500 and 503. First we will calculate the prime factors of 500 and 503.

Prime Factorization of 500


2 500
2 250
5 125
5 25
5 5
1

Prime factors of 500 are 2,5. Prime factorization of 500 in exponential form is:

500 = 22×53

Prime Factorization of 503


503 503
1

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

503 = 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 500 and 503.

LCM(500,503) = 22×53×5031
LCM(500,503) = 251500

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Factors of 503

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

1, 503

Least Common Multiple of 500 and 503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 500 and 503, than apply into the LCM equation.

GCF(500,503) = 1
LCM(500,503) = ( 500 × 503) / 1
LCM(500,503) = 251500 / 1
LCM(500,503) = 251500

Properties of LCM 500 and 503

(i) The LCM of 503 and 500 is associative

LCM of 500 and 503 = LCM of 503 and 500

Related Least Common Multiples of 500

Related Least Common Multiples of 503

Frequently Asked Questions on LCM of 500 and 503

1. What is the LCM of 500 and 503?

Answer: LCM of 500 and 503 is 251500.

2. What are the Factors of 500?

Answer: Factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500. There are 12 integers that are factors of 500. The greatest factor of 500 is 500.

3. 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.

4. How to Find the LCM of 500 and 503?

Answer:

Least Common Multiple of 500 and 503 = 251500

Step 1: Find the prime factorization of 500

500 = 2 x 2 x 5 x 5 x 5

Step 2: Find the prime factorization of 503

503 = 503

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

LCM = 251500 = 2 x 2 x 5 x 5 x 5 x 503

Step 4: Therefore, the least common multiple of 500 and 503 is 251500.