Least Common Multiple of 503 and 511

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 511 the smallest integer that is 257033 that is divisible by both numbers.

Least Common Multiple (LCM) of 503 and 511 is 257033.

LCM(503,511) = 257033

LCM of 503 and 511

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

LCM of:
and

Least Common Multiple of 503 and 511

LCM of 503 and 511 is 257033

Least common multiple can be found by multiplying the highest exponent prime factors of 503 and 511. First we will calculate the prime factors of 503 and 511.

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 511


7 511
73 73
1

Prime factors of 511 are 7,73. Prime factorization of 511 in exponential form is:

511 = 71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 503 and 511.

LCM(503,511) = 71×731×5031
LCM(503,511) = 257033

Factors of 503

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

1, 503

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Least Common Multiple of 503 and 511 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 511, than apply into the LCM equation.

GCF(503,511) = 1
LCM(503,511) = ( 503 × 511) / 1
LCM(503,511) = 257033 / 1
LCM(503,511) = 257033

Properties of LCM 503 and 511

(i) The LCM of 511 and 503 is associative

LCM of 503 and 511 = LCM of 511 and 503

Related Least Common Multiples of 503

Related Least Common Multiples of 511

Frequently Asked Questions on LCM of 503 and 511

1. What is the LCM of 503 and 511?

Answer: LCM of 503 and 511 is 257033.

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 511?

Answer: Factors of 511 are 1, 7, 73, 511. There are 4 integers that are factors of 511. The greatest factor of 511 is 511.

4. How to Find the LCM of 503 and 511?

Answer:

Least Common Multiple of 503 and 511 = 257033

Step 1: Find the prime factorization of 503

503 = 503

Step 2: Find the prime factorization of 511

511 = 7 x 73

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

LCM = 257033 = 7 x 73 x 503

Step 4: Therefore, the least common multiple of 503 and 511 is 257033.