Least Common Multiple of 503 and 510

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 510 the smallest integer that is 256530 that is divisible by both numbers.

Least Common Multiple (LCM) of 503 and 510 is 256530.

LCM(503,510) = 256530

LCM of 503 and 510

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

LCM of:
and

Least Common Multiple of 503 and 510

LCM of 503 and 510 is 256530

Least common multiple can be found by multiplying the highest exponent prime factors of 503 and 510. First we will calculate the prime factors of 503 and 510.

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 510


2 510
3 255
5 85
17 17
1

Prime factors of 510 are 2, 3, 5,17. Prime factorization of 510 in exponential form is:

510 = 21×31×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 503 and 510.

LCM(503,510) = 21×31×51×171×5031
LCM(503,510) = 256530

Factors of 503

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

1, 503

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Least Common Multiple of 503 and 510 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 510, than apply into the LCM equation.

GCF(503,510) = 1
LCM(503,510) = ( 503 × 510) / 1
LCM(503,510) = 256530 / 1
LCM(503,510) = 256530

Properties of LCM 503 and 510

(i) The LCM of 510 and 503 is associative

LCM of 503 and 510 = LCM of 510 and 503

Related Least Common Multiples of 503

Related Least Common Multiples of 510

Frequently Asked Questions on LCM of 503 and 510

1. What is the LCM of 503 and 510?

Answer: LCM of 503 and 510 is 256530.

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 510?

Answer: Factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510. There are 16 integers that are factors of 510. The greatest factor of 510 is 510.

4. How to Find the LCM of 503 and 510?

Answer:

Least Common Multiple of 503 and 510 = 256530

Step 1: Find the prime factorization of 503

503 = 503

Step 2: Find the prime factorization of 510

510 = 2 x 3 x 5 x 17

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

LCM = 256530 = 2 x 3 x 5 x 17 x 503

Step 4: Therefore, the least common multiple of 503 and 510 is 256530.