Least Common Multiple of 2292 and 2296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2292 and 2296 the smallest integer that is 1315608 that is divisible by both numbers.

Least Common Multiple (LCM) of 2292 and 2296 is 1315608.

LCM(2292,2296) = 1315608

LCM of 2292 and 2296

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

LCM of:
and

Least Common Multiple of 2292 and 2296

LCM of 2292 and 2296 is 1315608

Least common multiple can be found by multiplying the highest exponent prime factors of 2292 and 2296. First we will calculate the prime factors of 2292 and 2296.

Prime Factorization of 2292


2 2292
2 1146
3 573
191 191
1

Prime factors of 2292 are 2, 3,191. Prime factorization of 2292 in exponential form is:

2292 = 22×31×1911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2292 and 2296.

LCM(2292,2296) = 23×31×71×411×1911
LCM(2292,2296) = 1315608

Factors of 2292

List of positive integer factors of 2292 that divides 2292 without a remainder.

1, 2, 3, 4, 6, 12, 191, 382, 573, 764, 1146, 2292

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

Least Common Multiple of 2292 and 2296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2292 and 2296, than apply into the LCM equation.

GCF(2292,2296) = 4
LCM(2292,2296) = ( 2292 × 2296) / 4
LCM(2292,2296) = 5262432 / 4
LCM(2292,2296) = 1315608

Properties of LCM 2292 and 2296

(i) The LCM of 2296 and 2292 is associative

LCM of 2292 and 2296 = LCM of 2296 and 2292

Related Least Common Multiples of 2292

Related Least Common Multiples of 2296

Frequently Asked Questions on LCM of 2292 and 2296

1. What is the LCM of 2292 and 2296?

Answer: LCM of 2292 and 2296 is 1315608.

2. What are the Factors of 2292?

Answer: Factors of 2292 are 1, 2, 3, 4, 6, 12, 191, 382, 573, 764, 1146, 2292. There are 12 integers that are factors of 2292. The greatest factor of 2292 is 2292.

3. 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.

4. How to Find the LCM of 2292 and 2296?

Answer:

Least Common Multiple of 2292 and 2296 = 1315608

Step 1: Find the prime factorization of 2292

2292 = 2 x 2 x 3 x 191

Step 2: Find the prime factorization of 2296

2296 = 2 x 2 x 2 x 7 x 41

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

LCM = 1315608 = 2 x 2 x 2 x 3 x 7 x 41 x 191

Step 4: Therefore, the least common multiple of 2292 and 2296 is 1315608.