Least Common Multiple of 2504 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 2504 and 2511 the smallest integer that is 6287544 that is divisible by both numbers.

Least Common Multiple (LCM) of 2504 and 2511 is 6287544.

LCM(2504,2511) = 6287544

LCM of 2504 and 2511

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

LCM of:
and

Least Common Multiple of 2504 and 2511

LCM of 2504 and 2511 is 6287544

Least common multiple can be found by multiplying the highest exponent prime factors of 2504 and 2511. First we will calculate the prime factors of 2504 and 2511.

Prime Factorization of 2504


2 2504
2 1252
2 626
313 313
1

Prime factors of 2504 are 2,313. Prime factorization of 2504 in exponential form is:

2504 = 23×3131

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 2504 and 2511.

LCM(2504,2511) = 23×34×311×3131
LCM(2504,2511) = 6287544

Factors of 2504

List of positive integer factors of 2504 that divides 2504 without a remainder.

1, 2, 4, 8, 313, 626, 1252, 2504

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 2504 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 2504 and 2511, than apply into the LCM equation.

GCF(2504,2511) = 1
LCM(2504,2511) = ( 2504 × 2511) / 1
LCM(2504,2511) = 6287544 / 1
LCM(2504,2511) = 6287544

Properties of LCM 2504 and 2511

(i) The LCM of 2511 and 2504 is associative

LCM of 2504 and 2511 = LCM of 2511 and 2504

Related Least Common Multiples of 2504

Related Least Common Multiples of 2511

Frequently Asked Questions on LCM of 2504 and 2511

1. What is the LCM of 2504 and 2511?

Answer: LCM of 2504 and 2511 is 6287544.

2. What are the Factors of 2504?

Answer: Factors of 2504 are 1, 2, 4, 8, 313, 626, 1252, 2504. There are 8 integers that are factors of 2504. The greatest factor of 2504 is 2504.

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 2504 and 2511?

Answer:

Least Common Multiple of 2504 and 2511 = 6287544

Step 1: Find the prime factorization of 2504

2504 = 2 x 2 x 2 x 313

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 = 6287544 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 31 x 313

Step 4: Therefore, the least common multiple of 2504 and 2511 is 6287544.