Least Common Multiple of 2498 and 2504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2498 and 2504 the smallest integer that is 3127496 that is divisible by both numbers.

Least Common Multiple (LCM) of 2498 and 2504 is 3127496.

LCM(2498,2504) = 3127496

LCM of 2498 and 2504

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

LCM of:
and

Least Common Multiple of 2498 and 2504

LCM of 2498 and 2504 is 3127496

Least common multiple can be found by multiplying the highest exponent prime factors of 2498 and 2504. First we will calculate the prime factors of 2498 and 2504.

Prime Factorization of 2498


2 2498
1249 1249
1

Prime factors of 2498 are 2,1249. Prime factorization of 2498 in exponential form is:

2498 = 21×12491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2498 and 2504.

LCM(2498,2504) = 23×3131×12491
LCM(2498,2504) = 3127496

Factors of 2498

List of positive integer factors of 2498 that divides 2498 without a remainder.

1, 2, 1249, 2498

Factors of 2504

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

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

Least Common Multiple of 2498 and 2504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2498 and 2504, than apply into the LCM equation.

GCF(2498,2504) = 2
LCM(2498,2504) = ( 2498 × 2504) / 2
LCM(2498,2504) = 6254992 / 2
LCM(2498,2504) = 3127496

Properties of LCM 2498 and 2504

(i) The LCM of 2504 and 2498 is associative

LCM of 2498 and 2504 = LCM of 2504 and 2498

Related Least Common Multiples of 2498

Related Least Common Multiples of 2504

Frequently Asked Questions on LCM of 2498 and 2504

1. What is the LCM of 2498 and 2504?

Answer: LCM of 2498 and 2504 is 3127496.

2. What are the Factors of 2498?

Answer: Factors of 2498 are 1, 2, 1249, 2498. There are 4 integers that are factors of 2498. The greatest factor of 2498 is 2498.

3. 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.

4. How to Find the LCM of 2498 and 2504?

Answer:

Least Common Multiple of 2498 and 2504 = 3127496

Step 1: Find the prime factorization of 2498

2498 = 2 x 1249

Step 2: Find the prime factorization of 2504

2504 = 2 x 2 x 2 x 313

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

LCM = 3127496 = 2 x 2 x 2 x 313 x 1249

Step 4: Therefore, the least common multiple of 2498 and 2504 is 3127496.