Least Common Multiple of 2503 and 2508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2503 and 2508 the smallest integer that is 6277524 that is divisible by both numbers.

Least Common Multiple (LCM) of 2503 and 2508 is 6277524.

LCM(2503,2508) = 6277524

LCM of 2503 and 2508

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

LCM of:
and

Least Common Multiple of 2503 and 2508

LCM of 2503 and 2508 is 6277524

Least common multiple can be found by multiplying the highest exponent prime factors of 2503 and 2508. First we will calculate the prime factors of 2503 and 2508.

Prime Factorization of 2503


2503 2503
1

Prime factors of 2503 are 2503. Prime factorization of 2503 in exponential form is:

2503 = 25031

Prime Factorization of 2508


2 2508
2 1254
3 627
11 209
19 19
1

Prime factors of 2508 are 2, 3, 11,19. Prime factorization of 2508 in exponential form is:

2508 = 22×31×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2503 and 2508.

LCM(2503,2508) = 22×31×111×191×25031
LCM(2503,2508) = 6277524

Factors of 2503

List of positive integer factors of 2503 that divides 2503 without a remainder.

1, 2503

Factors of 2508

List of positive integer factors of 2508 that divides 2508 without a remainder.

1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254, 2508

Least Common Multiple of 2503 and 2508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2503 and 2508, than apply into the LCM equation.

GCF(2503,2508) = 1
LCM(2503,2508) = ( 2503 × 2508) / 1
LCM(2503,2508) = 6277524 / 1
LCM(2503,2508) = 6277524

Properties of LCM 2503 and 2508

(i) The LCM of 2508 and 2503 is associative

LCM of 2503 and 2508 = LCM of 2508 and 2503

Related Least Common Multiples of 2503

Related Least Common Multiples of 2508

Frequently Asked Questions on LCM of 2503 and 2508

1. What is the LCM of 2503 and 2508?

Answer: LCM of 2503 and 2508 is 6277524.

2. What are the Factors of 2503?

Answer: Factors of 2503 are 1, 2503. There are 2 integers that are factors of 2503. The greatest factor of 2503 is 2503.

3. What are the Factors of 2508?

Answer: Factors of 2508 are 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254, 2508. There are 24 integers that are factors of 2508. The greatest factor of 2508 is 2508.

4. How to Find the LCM of 2503 and 2508?

Answer:

Least Common Multiple of 2503 and 2508 = 6277524

Step 1: Find the prime factorization of 2503

2503 = 2503

Step 2: Find the prime factorization of 2508

2508 = 2 x 2 x 3 x 11 x 19

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

LCM = 6277524 = 2 x 2 x 3 x 11 x 19 x 2503

Step 4: Therefore, the least common multiple of 2503 and 2508 is 6277524.