Least Common Multiple of 503 and 504

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 504 the smallest integer that is 253512 that is divisible by both numbers.

Least Common Multiple (LCM) of 503 and 504 is 253512.

LCM(503,504) = 253512

LCM of 503 and 504

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

LCM of:
and

Least Common Multiple of 503 and 504

LCM of 503 and 504 is 253512

Least common multiple can be found by multiplying the highest exponent prime factors of 503 and 504. First we will calculate the prime factors of 503 and 504.

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 504


2 504
2 252
2 126
3 63
3 21
7 7
1

Prime factors of 504 are 2, 3,7. Prime factorization of 504 in exponential form is:

504 = 23×32×71

Now multiplying the highest exponent prime factors to calculate the LCM of 503 and 504.

LCM(503,504) = 23×32×71×5031
LCM(503,504) = 253512

Factors of 503

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

1, 503

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Least Common Multiple of 503 and 504 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 504, than apply into the LCM equation.

GCF(503,504) = 1
LCM(503,504) = ( 503 × 504) / 1
LCM(503,504) = 253512 / 1
LCM(503,504) = 253512

Properties of LCM 503 and 504

(i) The LCM of 504 and 503 is associative

LCM of 503 and 504 = LCM of 504 and 503

Related Least Common Multiples of 503

Related Least Common Multiples of 504

Frequently Asked Questions on LCM of 503 and 504

1. What is the LCM of 503 and 504?

Answer: LCM of 503 and 504 is 253512.

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 504?

Answer: Factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504. There are 24 integers that are factors of 504. The greatest factor of 504 is 504.

4. How to Find the LCM of 503 and 504?

Answer:

Least Common Multiple of 503 and 504 = 253512

Step 1: Find the prime factorization of 503

503 = 503

Step 2: Find the prime factorization of 504

504 = 2 x 2 x 2 x 3 x 3 x 7

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

LCM = 253512 = 2 x 2 x 2 x 3 x 3 x 7 x 503

Step 4: Therefore, the least common multiple of 503 and 504 is 253512.