Least Common Multiple of 503 and 505

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 505 the smallest integer that is 254015 that is divisible by both numbers.

Least Common Multiple (LCM) of 503 and 505 is 254015.

LCM(503,505) = 254015

LCM of 503 and 505

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

LCM of:
and

Least Common Multiple of 503 and 505

LCM of 503 and 505 is 254015

Least common multiple can be found by multiplying the highest exponent prime factors of 503 and 505. First we will calculate the prime factors of 503 and 505.

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 505


5 505
101 101
1

Prime factors of 505 are 5,101. Prime factorization of 505 in exponential form is:

505 = 51×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 503 and 505.

LCM(503,505) = 51×1011×5031
LCM(503,505) = 254015

Factors of 503

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

1, 503

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Least Common Multiple of 503 and 505 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 505, than apply into the LCM equation.

GCF(503,505) = 1
LCM(503,505) = ( 503 × 505) / 1
LCM(503,505) = 254015 / 1
LCM(503,505) = 254015

Properties of LCM 503 and 505

(i) The LCM of 505 and 503 is associative

LCM of 503 and 505 = LCM of 505 and 503

Related Least Common Multiples of 503

Related Least Common Multiples of 505

Frequently Asked Questions on LCM of 503 and 505

1. What is the LCM of 503 and 505?

Answer: LCM of 503 and 505 is 254015.

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 505?

Answer: Factors of 505 are 1, 5, 101, 505. There are 4 integers that are factors of 505. The greatest factor of 505 is 505.

4. How to Find the LCM of 503 and 505?

Answer:

Least Common Multiple of 503 and 505 = 254015

Step 1: Find the prime factorization of 503

503 = 503

Step 2: Find the prime factorization of 505

505 = 5 x 101

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

LCM = 254015 = 5 x 101 x 503

Step 4: Therefore, the least common multiple of 503 and 505 is 254015.