Least Common Multiple of 2492 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 2492 and 2494 the smallest integer that is 3107524 that is divisible by both numbers.

Least Common Multiple (LCM) of 2492 and 2494 is 3107524.

LCM(2492,2494) = 3107524

LCM of 2492 and 2494

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

LCM of:
and

Least Common Multiple of 2492 and 2494

LCM of 2492 and 2494 is 3107524

Least common multiple can be found by multiplying the highest exponent prime factors of 2492 and 2494. First we will calculate the prime factors of 2492 and 2494.

Prime Factorization of 2492


2 2492
2 1246
7 623
89 89
1

Prime factors of 2492 are 2, 7,89. Prime factorization of 2492 in exponential form is:

2492 = 22×71×891

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 2492 and 2494.

LCM(2492,2494) = 22×71×291×431×891
LCM(2492,2494) = 3107524

Factors of 2492

List of positive integer factors of 2492 that divides 2492 without a remainder.

1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246, 2492

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 2492 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 2492 and 2494, than apply into the LCM equation.

GCF(2492,2494) = 2
LCM(2492,2494) = ( 2492 × 2494) / 2
LCM(2492,2494) = 6215048 / 2
LCM(2492,2494) = 3107524

Properties of LCM 2492 and 2494

(i) The LCM of 2494 and 2492 is associative

LCM of 2492 and 2494 = LCM of 2494 and 2492

Related Least Common Multiples of 2492

Related Least Common Multiples of 2494

Frequently Asked Questions on LCM of 2492 and 2494

1. What is the LCM of 2492 and 2494?

Answer: LCM of 2492 and 2494 is 3107524.

2. What are the Factors of 2492?

Answer: Factors of 2492 are 1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246, 2492. There are 12 integers that are factors of 2492. The greatest factor of 2492 is 2492.

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 2492 and 2494?

Answer:

Least Common Multiple of 2492 and 2494 = 3107524

Step 1: Find the prime factorization of 2492

2492 = 2 x 2 x 7 x 89

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 = 3107524 = 2 x 2 x 7 x 29 x 43 x 89

Step 4: Therefore, the least common multiple of 2492 and 2494 is 3107524.