Least Common Multiple of 2498 and 2503

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 2503 the smallest integer that is 6252494 that is divisible by both numbers.

Least Common Multiple (LCM) of 2498 and 2503 is 6252494.

LCM(2498,2503) = 6252494

LCM of 2498 and 2503

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

LCM of:
and

Least Common Multiple of 2498 and 2503

LCM of 2498 and 2503 is 6252494

Least common multiple can be found by multiplying the highest exponent prime factors of 2498 and 2503. First we will calculate the prime factors of 2498 and 2503.

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 2503


2503 2503
1

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

2503 = 25031

Now multiplying the highest exponent prime factors to calculate the LCM of 2498 and 2503.

LCM(2498,2503) = 21×12491×25031
LCM(2498,2503) = 6252494

Factors of 2498

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

1, 2, 1249, 2498

Factors of 2503

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

1, 2503

Least Common Multiple of 2498 and 2503 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 2503, than apply into the LCM equation.

GCF(2498,2503) = 1
LCM(2498,2503) = ( 2498 × 2503) / 1
LCM(2498,2503) = 6252494 / 1
LCM(2498,2503) = 6252494

Properties of LCM 2498 and 2503

(i) The LCM of 2503 and 2498 is associative

LCM of 2498 and 2503 = LCM of 2503 and 2498

Related Least Common Multiples of 2498

Related Least Common Multiples of 2503

Frequently Asked Questions on LCM of 2498 and 2503

1. What is the LCM of 2498 and 2503?

Answer: LCM of 2498 and 2503 is 6252494.

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 2503?

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

4. How to Find the LCM of 2498 and 2503?

Answer:

Least Common Multiple of 2498 and 2503 = 6252494

Step 1: Find the prime factorization of 2498

2498 = 2 x 1249

Step 2: Find the prime factorization of 2503

2503 = 2503

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

LCM = 6252494 = 2 x 1249 x 2503

Step 4: Therefore, the least common multiple of 2498 and 2503 is 6252494.