Least Common Multiple of 2493 and 2494

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 2494 the smallest integer that is 6217542 that is divisible by both numbers.

Least Common Multiple (LCM) of 2493 and 2494 is 6217542.

LCM(2493,2494) = 6217542

LCM of 2493 and 2494

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

LCM of:
and

Least Common Multiple of 2493 and 2494

LCM of 2493 and 2494 is 6217542

Least common multiple can be found by multiplying the highest exponent prime factors of 2493 and 2494. First we will calculate the prime factors of 2493 and 2494.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 2493 and 2494.

LCM(2493,2494) = 21×32×291×431×2771
LCM(2493,2494) = 6217542

Factors of 2493

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

1, 3, 9, 277, 831, 2493

Factors of 2494

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

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

Least Common Multiple of 2493 and 2494 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 2494, than apply into the LCM equation.

GCF(2493,2494) = 1
LCM(2493,2494) = ( 2493 × 2494) / 1
LCM(2493,2494) = 6217542 / 1
LCM(2493,2494) = 6217542

Properties of LCM 2493 and 2494

(i) The LCM of 2494 and 2493 is associative

LCM of 2493 and 2494 = LCM of 2494 and 2493

Related Least Common Multiples of 2493

Related Least Common Multiples of 2494

Frequently Asked Questions on LCM of 2493 and 2494

1. What is the LCM of 2493 and 2494?

Answer: LCM of 2493 and 2494 is 6217542.

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 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.

4. How to Find the LCM of 2493 and 2494?

Answer:

Least Common Multiple of 2493 and 2494 = 6217542

Step 1: Find the prime factorization of 2493

2493 = 3 x 3 x 277

Step 2: Find the prime factorization of 2494

2494 = 2 x 29 x 43

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

LCM = 6217542 = 2 x 3 x 3 x 29 x 43 x 277

Step 4: Therefore, the least common multiple of 2493 and 2494 is 6217542.