Least Common Multiple of 2490 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 2490 and 2494 the smallest integer that is 3105030 that is divisible by both numbers.

Least Common Multiple (LCM) of 2490 and 2494 is 3105030.

LCM(2490,2494) = 3105030

LCM of 2490 and 2494

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

LCM of:
and

Least Common Multiple of 2490 and 2494

LCM of 2490 and 2494 is 3105030

Least common multiple can be found by multiplying the highest exponent prime factors of 2490 and 2494. First we will calculate the prime factors of 2490 and 2494.

Prime Factorization of 2490


2 2490
3 1245
5 415
83 83
1

Prime factors of 2490 are 2, 3, 5,83. Prime factorization of 2490 in exponential form is:

2490 = 21×31×51×831

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 2490 and 2494.

LCM(2490,2494) = 21×31×51×291×431×831
LCM(2490,2494) = 3105030

Factors of 2490

List of positive integer factors of 2490 that divides 2490 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245, 2490

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 2490 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 2490 and 2494, than apply into the LCM equation.

GCF(2490,2494) = 2
LCM(2490,2494) = ( 2490 × 2494) / 2
LCM(2490,2494) = 6210060 / 2
LCM(2490,2494) = 3105030

Properties of LCM 2490 and 2494

(i) The LCM of 2494 and 2490 is associative

LCM of 2490 and 2494 = LCM of 2494 and 2490

Related Least Common Multiples of 2490

Related Least Common Multiples of 2494

Frequently Asked Questions on LCM of 2490 and 2494

1. What is the LCM of 2490 and 2494?

Answer: LCM of 2490 and 2494 is 3105030.

2. What are the Factors of 2490?

Answer: Factors of 2490 are 1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245, 2490. There are 16 integers that are factors of 2490. The greatest factor of 2490 is 2490.

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 2490 and 2494?

Answer:

Least Common Multiple of 2490 and 2494 = 3105030

Step 1: Find the prime factorization of 2490

2490 = 2 x 3 x 5 x 83

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 = 3105030 = 2 x 3 x 5 x 29 x 43 x 83

Step 4: Therefore, the least common multiple of 2490 and 2494 is 3105030.