Least Common Multiple of 2296 and 2298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2296 and 2298 the smallest integer that is 2638104 that is divisible by both numbers.

Least Common Multiple (LCM) of 2296 and 2298 is 2638104.

LCM(2296,2298) = 2638104

LCM of 2296 and 2298

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

LCM of:
and

Least Common Multiple of 2296 and 2298

LCM of 2296 and 2298 is 2638104

Least common multiple can be found by multiplying the highest exponent prime factors of 2296 and 2298. First we will calculate the prime factors of 2296 and 2298.

Prime Factorization of 2296


2 2296
2 1148
2 574
7 287
41 41
1

Prime factors of 2296 are 2, 7,41. Prime factorization of 2296 in exponential form is:

2296 = 23×71×411

Prime Factorization of 2298


2 2298
3 1149
383 383
1

Prime factors of 2298 are 2, 3,383. Prime factorization of 2298 in exponential form is:

2298 = 21×31×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 2296 and 2298.

LCM(2296,2298) = 23×31×71×411×3831
LCM(2296,2298) = 2638104

Factors of 2296

List of positive integer factors of 2296 that divides 2296 without a remainder.

1, 2, 4, 7, 8, 14, 28, 41, 56, 82, 164, 287, 328, 574, 1148, 2296

Factors of 2298

List of positive integer factors of 2298 that divides 2298 without a remainder.

1, 2, 3, 6, 383, 766, 1149, 2298

Least Common Multiple of 2296 and 2298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2296 and 2298, than apply into the LCM equation.

GCF(2296,2298) = 2
LCM(2296,2298) = ( 2296 × 2298) / 2
LCM(2296,2298) = 5276208 / 2
LCM(2296,2298) = 2638104

Properties of LCM 2296 and 2298

(i) The LCM of 2298 and 2296 is associative

LCM of 2296 and 2298 = LCM of 2298 and 2296

Related Least Common Multiples of 2296

Related Least Common Multiples of 2298

Frequently Asked Questions on LCM of 2296 and 2298

1. What is the LCM of 2296 and 2298?

Answer: LCM of 2296 and 2298 is 2638104.

2. What are the Factors of 2296?

Answer: Factors of 2296 are 1, 2, 4, 7, 8, 14, 28, 41, 56, 82, 164, 287, 328, 574, 1148, 2296. There are 16 integers that are factors of 2296. The greatest factor of 2296 is 2296.

3. What are the Factors of 2298?

Answer: Factors of 2298 are 1, 2, 3, 6, 383, 766, 1149, 2298. There are 8 integers that are factors of 2298. The greatest factor of 2298 is 2298.

4. How to Find the LCM of 2296 and 2298?

Answer:

Least Common Multiple of 2296 and 2298 = 2638104

Step 1: Find the prime factorization of 2296

2296 = 2 x 2 x 2 x 7 x 41

Step 2: Find the prime factorization of 2298

2298 = 2 x 3 x 383

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

LCM = 2638104 = 2 x 2 x 2 x 3 x 7 x 41 x 383

Step 4: Therefore, the least common multiple of 2296 and 2298 is 2638104.