Least Common Multiple of 2296 and 2301

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 2301 the smallest integer that is 5283096 that is divisible by both numbers.

Least Common Multiple (LCM) of 2296 and 2301 is 5283096.

LCM(2296,2301) = 5283096

LCM of 2296 and 2301

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

LCM of:
and

Least Common Multiple of 2296 and 2301

LCM of 2296 and 2301 is 5283096

Least common multiple can be found by multiplying the highest exponent prime factors of 2296 and 2301. First we will calculate the prime factors of 2296 and 2301.

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 2301


3 2301
13 767
59 59
1

Prime factors of 2301 are 3, 13,59. Prime factorization of 2301 in exponential form is:

2301 = 31×131×591

Now multiplying the highest exponent prime factors to calculate the LCM of 2296 and 2301.

LCM(2296,2301) = 23×31×71×131×411×591
LCM(2296,2301) = 5283096

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 2301

List of positive integer factors of 2301 that divides 2301 without a remainder.

1, 3, 13, 39, 59, 177, 767, 2301

Least Common Multiple of 2296 and 2301 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 2301, than apply into the LCM equation.

GCF(2296,2301) = 1
LCM(2296,2301) = ( 2296 × 2301) / 1
LCM(2296,2301) = 5283096 / 1
LCM(2296,2301) = 5283096

Properties of LCM 2296 and 2301

(i) The LCM of 2301 and 2296 is associative

LCM of 2296 and 2301 = LCM of 2301 and 2296

Related Least Common Multiples of 2296

Related Least Common Multiples of 2301

Frequently Asked Questions on LCM of 2296 and 2301

1. What is the LCM of 2296 and 2301?

Answer: LCM of 2296 and 2301 is 5283096.

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 2301?

Answer: Factors of 2301 are 1, 3, 13, 39, 59, 177, 767, 2301. There are 8 integers that are factors of 2301. The greatest factor of 2301 is 2301.

4. How to Find the LCM of 2296 and 2301?

Answer:

Least Common Multiple of 2296 and 2301 = 5283096

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 2301

2301 = 3 x 13 x 59

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

LCM = 5283096 = 2 x 2 x 2 x 3 x 7 x 13 x 41 x 59

Step 4: Therefore, the least common multiple of 2296 and 2301 is 5283096.