Least Common Multiple of 2503 and 2511

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 2511 the smallest integer that is 6285033 that is divisible by both numbers.

Least Common Multiple (LCM) of 2503 and 2511 is 6285033.

LCM(2503,2511) = 6285033

LCM of 2503 and 2511

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

LCM of:
and

Least Common Multiple of 2503 and 2511

LCM of 2503 and 2511 is 6285033

Least common multiple can be found by multiplying the highest exponent prime factors of 2503 and 2511. First we will calculate the prime factors of 2503 and 2511.

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 2511


3 2511
3 837
3 279
3 93
31 31
1

Prime factors of 2511 are 3,31. Prime factorization of 2511 in exponential form is:

2511 = 34×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2503 and 2511.

LCM(2503,2511) = 34×311×25031
LCM(2503,2511) = 6285033

Factors of 2503

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

1, 2503

Factors of 2511

List of positive integer factors of 2511 that divides 2511 without a remainder.

1, 3, 9, 27, 31, 81, 93, 279, 837, 2511

Least Common Multiple of 2503 and 2511 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 2511, than apply into the LCM equation.

GCF(2503,2511) = 1
LCM(2503,2511) = ( 2503 × 2511) / 1
LCM(2503,2511) = 6285033 / 1
LCM(2503,2511) = 6285033

Properties of LCM 2503 and 2511

(i) The LCM of 2511 and 2503 is associative

LCM of 2503 and 2511 = LCM of 2511 and 2503

Related Least Common Multiples of 2503

Related Least Common Multiples of 2511

Frequently Asked Questions on LCM of 2503 and 2511

1. What is the LCM of 2503 and 2511?

Answer: LCM of 2503 and 2511 is 6285033.

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 2511?

Answer: Factors of 2511 are 1, 3, 9, 27, 31, 81, 93, 279, 837, 2511. There are 10 integers that are factors of 2511. The greatest factor of 2511 is 2511.

4. How to Find the LCM of 2503 and 2511?

Answer:

Least Common Multiple of 2503 and 2511 = 6285033

Step 1: Find the prime factorization of 2503

2503 = 2503

Step 2: Find the prime factorization of 2511

2511 = 3 x 3 x 3 x 3 x 31

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

LCM = 6285033 = 3 x 3 x 3 x 3 x 31 x 2503

Step 4: Therefore, the least common multiple of 2503 and 2511 is 6285033.