Least Common Multiple of 2491 and 2497

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 2497 the smallest integer that is 6220027 that is divisible by both numbers.

Least Common Multiple (LCM) of 2491 and 2497 is 6220027.

LCM(2491,2497) = 6220027

LCM of 2491 and 2497

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

LCM of:
and

Least Common Multiple of 2491 and 2497

LCM of 2491 and 2497 is 6220027

Least common multiple can be found by multiplying the highest exponent prime factors of 2491 and 2497. First we will calculate the prime factors of 2491 and 2497.

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 2497


11 2497
227 227
1

Prime factors of 2497 are 11,227. Prime factorization of 2497 in exponential form is:

2497 = 111×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 2491 and 2497.

LCM(2491,2497) = 111×471×531×2271
LCM(2491,2497) = 6220027

Factors of 2491

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

1, 47, 53, 2491

Factors of 2497

List of positive integer factors of 2497 that divides 2497 without a remainder.

1, 11, 227, 2497

Least Common Multiple of 2491 and 2497 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 2497, than apply into the LCM equation.

GCF(2491,2497) = 1
LCM(2491,2497) = ( 2491 × 2497) / 1
LCM(2491,2497) = 6220027 / 1
LCM(2491,2497) = 6220027

Properties of LCM 2491 and 2497

(i) The LCM of 2497 and 2491 is associative

LCM of 2491 and 2497 = LCM of 2497 and 2491

Related Least Common Multiples of 2491

Related Least Common Multiples of 2497

Frequently Asked Questions on LCM of 2491 and 2497

1. What is the LCM of 2491 and 2497?

Answer: LCM of 2491 and 2497 is 6220027.

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 2497?

Answer: Factors of 2497 are 1, 11, 227, 2497. There are 4 integers that are factors of 2497. The greatest factor of 2497 is 2497.

4. How to Find the LCM of 2491 and 2497?

Answer:

Least Common Multiple of 2491 and 2497 = 6220027

Step 1: Find the prime factorization of 2491

2491 = 47 x 53

Step 2: Find the prime factorization of 2497

2497 = 11 x 227

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

LCM = 6220027 = 11 x 47 x 53 x 227

Step 4: Therefore, the least common multiple of 2491 and 2497 is 6220027.