Least Common Multiple of 503 and 508

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 508 the smallest integer that is 255524 that is divisible by both numbers.

Least Common Multiple (LCM) of 503 and 508 is 255524.

LCM(503,508) = 255524

LCM of 503 and 508

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

LCM of:
and

Least Common Multiple of 503 and 508

LCM of 503 and 508 is 255524

Least common multiple can be found by multiplying the highest exponent prime factors of 503 and 508. First we will calculate the prime factors of 503 and 508.

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 508


2 508
2 254
127 127
1

Prime factors of 508 are 2,127. Prime factorization of 508 in exponential form is:

508 = 22×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 503 and 508.

LCM(503,508) = 22×1271×5031
LCM(503,508) = 255524

Factors of 503

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

1, 503

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Least Common Multiple of 503 and 508 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 508, than apply into the LCM equation.

GCF(503,508) = 1
LCM(503,508) = ( 503 × 508) / 1
LCM(503,508) = 255524 / 1
LCM(503,508) = 255524

Properties of LCM 503 and 508

(i) The LCM of 508 and 503 is associative

LCM of 503 and 508 = LCM of 508 and 503

Related Least Common Multiples of 503

Related Least Common Multiples of 508

Frequently Asked Questions on LCM of 503 and 508

1. What is the LCM of 503 and 508?

Answer: LCM of 503 and 508 is 255524.

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 508?

Answer: Factors of 508 are 1, 2, 4, 127, 254, 508. There are 6 integers that are factors of 508. The greatest factor of 508 is 508.

4. How to Find the LCM of 503 and 508?

Answer:

Least Common Multiple of 503 and 508 = 255524

Step 1: Find the prime factorization of 503

503 = 503

Step 2: Find the prime factorization of 508

508 = 2 x 2 x 127

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

LCM = 255524 = 2 x 2 x 127 x 503

Step 4: Therefore, the least common multiple of 503 and 508 is 255524.