Least Common Multiple of 2504 and 2510

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 2510 the smallest integer that is 3142520 that is divisible by both numbers.

Least Common Multiple (LCM) of 2504 and 2510 is 3142520.

LCM(2504,2510) = 3142520

LCM of 2504 and 2510

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

LCM of:
and

Least Common Multiple of 2504 and 2510

LCM of 2504 and 2510 is 3142520

Least common multiple can be found by multiplying the highest exponent prime factors of 2504 and 2510. First we will calculate the prime factors of 2504 and 2510.

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 2510


2 2510
5 1255
251 251
1

Prime factors of 2510 are 2, 5,251. Prime factorization of 2510 in exponential form is:

2510 = 21×51×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 2504 and 2510.

LCM(2504,2510) = 23×51×2511×3131
LCM(2504,2510) = 3142520

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 2510

List of positive integer factors of 2510 that divides 2510 without a remainder.

1, 2, 5, 10, 251, 502, 1255, 2510

Least Common Multiple of 2504 and 2510 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 2510, than apply into the LCM equation.

GCF(2504,2510) = 2
LCM(2504,2510) = ( 2504 × 2510) / 2
LCM(2504,2510) = 6285040 / 2
LCM(2504,2510) = 3142520

Properties of LCM 2504 and 2510

(i) The LCM of 2510 and 2504 is associative

LCM of 2504 and 2510 = LCM of 2510 and 2504

Related Least Common Multiples of 2504

Related Least Common Multiples of 2510

Frequently Asked Questions on LCM of 2504 and 2510

1. What is the LCM of 2504 and 2510?

Answer: LCM of 2504 and 2510 is 3142520.

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 2510?

Answer: Factors of 2510 are 1, 2, 5, 10, 251, 502, 1255, 2510. There are 8 integers that are factors of 2510. The greatest factor of 2510 is 2510.

4. How to Find the LCM of 2504 and 2510?

Answer:

Least Common Multiple of 2504 and 2510 = 3142520

Step 1: Find the prime factorization of 2504

2504 = 2 x 2 x 2 x 313

Step 2: Find the prime factorization of 2510

2510 = 2 x 5 x 251

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

LCM = 3142520 = 2 x 2 x 2 x 5 x 251 x 313

Step 4: Therefore, the least common multiple of 2504 and 2510 is 3142520.