Least Common Multiple of 2283 and 2288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2283 and 2288 the smallest integer that is 5223504 that is divisible by both numbers.

Least Common Multiple (LCM) of 2283 and 2288 is 5223504.

LCM(2283,2288) = 5223504

LCM of 2283 and 2288

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

LCM of:
and

Least Common Multiple of 2283 and 2288

LCM of 2283 and 2288 is 5223504

Least common multiple can be found by multiplying the highest exponent prime factors of 2283 and 2288. First we will calculate the prime factors of 2283 and 2288.

Prime Factorization of 2283


3 2283
761 761
1

Prime factors of 2283 are 3,761. Prime factorization of 2283 in exponential form is:

2283 = 31×7611

Prime Factorization of 2288


2 2288
2 1144
2 572
2 286
11 143
13 13
1

Prime factors of 2288 are 2, 11,13. Prime factorization of 2288 in exponential form is:

2288 = 24×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 2283 and 2288.

LCM(2283,2288) = 24×31×111×131×7611
LCM(2283,2288) = 5223504

Factors of 2283

List of positive integer factors of 2283 that divides 2283 without a remainder.

1, 3, 761, 2283

Factors of 2288

List of positive integer factors of 2288 that divides 2288 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 44, 52, 88, 104, 143, 176, 208, 286, 572, 1144, 2288

Least Common Multiple of 2283 and 2288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2283 and 2288, than apply into the LCM equation.

GCF(2283,2288) = 1
LCM(2283,2288) = ( 2283 × 2288) / 1
LCM(2283,2288) = 5223504 / 1
LCM(2283,2288) = 5223504

Properties of LCM 2283 and 2288

(i) The LCM of 2288 and 2283 is associative

LCM of 2283 and 2288 = LCM of 2288 and 2283

Related Least Common Multiples of 2283

Related Least Common Multiples of 2288

Frequently Asked Questions on LCM of 2283 and 2288

1. What is the LCM of 2283 and 2288?

Answer: LCM of 2283 and 2288 is 5223504.

2. What are the Factors of 2283?

Answer: Factors of 2283 are 1, 3, 761, 2283. There are 4 integers that are factors of 2283. The greatest factor of 2283 is 2283.

3. What are the Factors of 2288?

Answer: Factors of 2288 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 44, 52, 88, 104, 143, 176, 208, 286, 572, 1144, 2288. There are 20 integers that are factors of 2288. The greatest factor of 2288 is 2288.

4. How to Find the LCM of 2283 and 2288?

Answer:

Least Common Multiple of 2283 and 2288 = 5223504

Step 1: Find the prime factorization of 2283

2283 = 3 x 761

Step 2: Find the prime factorization of 2288

2288 = 2 x 2 x 2 x 2 x 11 x 13

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

LCM = 5223504 = 2 x 2 x 2 x 2 x 3 x 11 x 13 x 761

Step 4: Therefore, the least common multiple of 2283 and 2288 is 5223504.