Least Common Multiple of 2491 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 2491 and 2498 the smallest integer that is 6222518 that is divisible by both numbers.

Least Common Multiple (LCM) of 2491 and 2498 is 6222518.

LCM(2491,2498) = 6222518

LCM of 2491 and 2498

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

LCM of:
and

Least Common Multiple of 2491 and 2498

LCM of 2491 and 2498 is 6222518

Least common multiple can be found by multiplying the highest exponent prime factors of 2491 and 2498. First we will calculate the prime factors of 2491 and 2498.

Prime Factorization of 2491


47 2491
53 53
1

Prime factors of 2491 are 47,53. Prime factorization of 2491 in exponential form is:

2491 = 471×531

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 2491 and 2498.

LCM(2491,2498) = 21×471×531×12491
LCM(2491,2498) = 6222518

Factors of 2491

List of positive integer factors of 2491 that divides 2491 without a remainder.

1, 47, 53, 2491

Factors of 2498

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

1, 2, 1249, 2498

Least Common Multiple of 2491 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 2491 and 2498, than apply into the LCM equation.

GCF(2491,2498) = 1
LCM(2491,2498) = ( 2491 × 2498) / 1
LCM(2491,2498) = 6222518 / 1
LCM(2491,2498) = 6222518

Properties of LCM 2491 and 2498

(i) The LCM of 2498 and 2491 is associative

LCM of 2491 and 2498 = LCM of 2498 and 2491

Related Least Common Multiples of 2491

Related Least Common Multiples of 2498

Frequently Asked Questions on LCM of 2491 and 2498

1. What is the LCM of 2491 and 2498?

Answer: LCM of 2491 and 2498 is 6222518.

2. What are the Factors of 2491?

Answer: Factors of 2491 are 1, 47, 53, 2491. There are 4 integers that are factors of 2491. The greatest factor of 2491 is 2491.

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 2491 and 2498?

Answer:

Least Common Multiple of 2491 and 2498 = 6222518

Step 1: Find the prime factorization of 2491

2491 = 47 x 53

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 = 6222518 = 2 x 47 x 53 x 1249

Step 4: Therefore, the least common multiple of 2491 and 2498 is 6222518.