Least Common Multiple of 2494 and 2498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2494 and 2498 the smallest integer that is 3115006 that is divisible by both numbers.

Least Common Multiple (LCM) of 2494 and 2498 is 3115006.

LCM(2494,2498) = 3115006

LCM of 2494 and 2498

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

LCM of:
and

Least Common Multiple of 2494 and 2498

LCM of 2494 and 2498 is 3115006

Least common multiple can be found by multiplying the highest exponent prime factors of 2494 and 2498. First we will calculate the prime factors of 2494 and 2498.

Prime Factorization of 2494


2 2494
29 1247
43 43
1

Prime factors of 2494 are 2, 29,43. Prime factorization of 2494 in exponential form is:

2494 = 21×291×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2494 and 2498.

LCM(2494,2498) = 21×291×431×12491
LCM(2494,2498) = 3115006

Factors of 2494

List of positive integer factors of 2494 that divides 2494 without a remainder.

1, 2, 29, 43, 58, 86, 1247, 2494

Factors of 2498

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

1, 2, 1249, 2498

Least Common Multiple of 2494 and 2498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2494 and 2498, than apply into the LCM equation.

GCF(2494,2498) = 2
LCM(2494,2498) = ( 2494 × 2498) / 2
LCM(2494,2498) = 6230012 / 2
LCM(2494,2498) = 3115006

Properties of LCM 2494 and 2498

(i) The LCM of 2498 and 2494 is associative

LCM of 2494 and 2498 = LCM of 2498 and 2494

Related Least Common Multiples of 2494

Related Least Common Multiples of 2498

Frequently Asked Questions on LCM of 2494 and 2498

1. What is the LCM of 2494 and 2498?

Answer: LCM of 2494 and 2498 is 3115006.

2. What are the Factors of 2494?

Answer: Factors of 2494 are 1, 2, 29, 43, 58, 86, 1247, 2494. There are 8 integers that are factors of 2494. The greatest factor of 2494 is 2494.

3. 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.

4. How to Find the LCM of 2494 and 2498?

Answer:

Least Common Multiple of 2494 and 2498 = 3115006

Step 1: Find the prime factorization of 2494

2494 = 2 x 29 x 43

Step 2: Find the prime factorization of 2498

2498 = 2 x 1249

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

LCM = 3115006 = 2 x 29 x 43 x 1249

Step 4: Therefore, the least common multiple of 2494 and 2498 is 3115006.