Least Common Multiple of 503 and 506

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 506 the smallest integer that is 254518 that is divisible by both numbers.

Least Common Multiple (LCM) of 503 and 506 is 254518.

LCM(503,506) = 254518

LCM of 503 and 506

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

LCM of:
and

Least Common Multiple of 503 and 506

LCM of 503 and 506 is 254518

Least common multiple can be found by multiplying the highest exponent prime factors of 503 and 506. First we will calculate the prime factors of 503 and 506.

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 506


2 506
11 253
23 23
1

Prime factors of 506 are 2, 11,23. Prime factorization of 506 in exponential form is:

506 = 21×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 503 and 506.

LCM(503,506) = 21×111×231×5031
LCM(503,506) = 254518

Factors of 503

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

1, 503

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Least Common Multiple of 503 and 506 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 506, than apply into the LCM equation.

GCF(503,506) = 1
LCM(503,506) = ( 503 × 506) / 1
LCM(503,506) = 254518 / 1
LCM(503,506) = 254518

Properties of LCM 503 and 506

(i) The LCM of 506 and 503 is associative

LCM of 503 and 506 = LCM of 506 and 503

Related Least Common Multiples of 503

Related Least Common Multiples of 506

Frequently Asked Questions on LCM of 503 and 506

1. What is the LCM of 503 and 506?

Answer: LCM of 503 and 506 is 254518.

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 506?

Answer: Factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506. There are 8 integers that are factors of 506. The greatest factor of 506 is 506.

4. How to Find the LCM of 503 and 506?

Answer:

Least Common Multiple of 503 and 506 = 254518

Step 1: Find the prime factorization of 503

503 = 503

Step 2: Find the prime factorization of 506

506 = 2 x 11 x 23

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

LCM = 254518 = 2 x 11 x 23 x 503

Step 4: Therefore, the least common multiple of 503 and 506 is 254518.