Least Common Multiple of 503 and 507

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 507 the smallest integer that is 255021 that is divisible by both numbers.

Least Common Multiple (LCM) of 503 and 507 is 255021.

LCM(503,507) = 255021

LCM of 503 and 507

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

LCM of:
and

Least Common Multiple of 503 and 507

LCM of 503 and 507 is 255021

Least common multiple can be found by multiplying the highest exponent prime factors of 503 and 507. First we will calculate the prime factors of 503 and 507.

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 507


3 507
13 169
13 13
1

Prime factors of 507 are 3,13. Prime factorization of 507 in exponential form is:

507 = 31×132

Now multiplying the highest exponent prime factors to calculate the LCM of 503 and 507.

LCM(503,507) = 31×132×5031
LCM(503,507) = 255021

Factors of 503

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

1, 503

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Least Common Multiple of 503 and 507 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 507, than apply into the LCM equation.

GCF(503,507) = 1
LCM(503,507) = ( 503 × 507) / 1
LCM(503,507) = 255021 / 1
LCM(503,507) = 255021

Properties of LCM 503 and 507

(i) The LCM of 507 and 503 is associative

LCM of 503 and 507 = LCM of 507 and 503

Frequently Asked Questions on LCM of 503 and 507

1. What is the LCM of 503 and 507?

Answer: LCM of 503 and 507 is 255021.

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 507?

Answer: Factors of 507 are 1, 3, 13, 39, 169, 507. There are 6 integers that are factors of 507. The greatest factor of 507 is 507.

4. How to Find the LCM of 503 and 507?

Answer:

Least Common Multiple of 503 and 507 = 255021

Step 1: Find the prime factorization of 503

503 = 503

Step 2: Find the prime factorization of 507

507 = 3 x 13 x 13

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

LCM = 255021 = 3 x 13 x 13 x 503

Step 4: Therefore, the least common multiple of 503 and 507 is 255021.