Least Common Multiple of 2493 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 2493 and 2497 the smallest integer that is 6225021 that is divisible by both numbers.

Least Common Multiple (LCM) of 2493 and 2497 is 6225021.

LCM(2493,2497) = 6225021

LCM of 2493 and 2497

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

LCM of:
and

Least Common Multiple of 2493 and 2497

LCM of 2493 and 2497 is 6225021

Least common multiple can be found by multiplying the highest exponent prime factors of 2493 and 2497. First we will calculate the prime factors of 2493 and 2497.

Prime Factorization of 2493


3 2493
3 831
277 277
1

Prime factors of 2493 are 3,277. Prime factorization of 2493 in exponential form is:

2493 = 32×2771

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 2493 and 2497.

LCM(2493,2497) = 32×111×2271×2771
LCM(2493,2497) = 6225021

Factors of 2493

List of positive integer factors of 2493 that divides 2493 without a remainder.

1, 3, 9, 277, 831, 2493

Factors of 2497

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

1, 11, 227, 2497

Least Common Multiple of 2493 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 2493 and 2497, than apply into the LCM equation.

GCF(2493,2497) = 1
LCM(2493,2497) = ( 2493 × 2497) / 1
LCM(2493,2497) = 6225021 / 1
LCM(2493,2497) = 6225021

Properties of LCM 2493 and 2497

(i) The LCM of 2497 and 2493 is associative

LCM of 2493 and 2497 = LCM of 2497 and 2493

Related Least Common Multiples of 2493

Related Least Common Multiples of 2497

Frequently Asked Questions on LCM of 2493 and 2497

1. What is the LCM of 2493 and 2497?

Answer: LCM of 2493 and 2497 is 6225021.

2. What are the Factors of 2493?

Answer: Factors of 2493 are 1, 3, 9, 277, 831, 2493. There are 6 integers that are factors of 2493. The greatest factor of 2493 is 2493.

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 2493 and 2497?

Answer:

Least Common Multiple of 2493 and 2497 = 6225021

Step 1: Find the prime factorization of 2493

2493 = 3 x 3 x 277

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 = 6225021 = 3 x 3 x 11 x 227 x 277

Step 4: Therefore, the least common multiple of 2493 and 2497 is 6225021.