Least Common Multiple of 2283 and 2287

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 2287 the smallest integer that is 5221221 that is divisible by both numbers.

Least Common Multiple (LCM) of 2283 and 2287 is 5221221.

LCM(2283,2287) = 5221221

LCM of 2283 and 2287

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

LCM of:
and

Least Common Multiple of 2283 and 2287

LCM of 2283 and 2287 is 5221221

Least common multiple can be found by multiplying the highest exponent prime factors of 2283 and 2287. First we will calculate the prime factors of 2283 and 2287.

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 2287


2287 2287
1

Prime factors of 2287 are 2287. Prime factorization of 2287 in exponential form is:

2287 = 22871

Now multiplying the highest exponent prime factors to calculate the LCM of 2283 and 2287.

LCM(2283,2287) = 31×7611×22871
LCM(2283,2287) = 5221221

Factors of 2283

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

1, 3, 761, 2283

Factors of 2287

List of positive integer factors of 2287 that divides 2287 without a remainder.

1, 2287

Least Common Multiple of 2283 and 2287 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 2287, than apply into the LCM equation.

GCF(2283,2287) = 1
LCM(2283,2287) = ( 2283 × 2287) / 1
LCM(2283,2287) = 5221221 / 1
LCM(2283,2287) = 5221221

Properties of LCM 2283 and 2287

(i) The LCM of 2287 and 2283 is associative

LCM of 2283 and 2287 = LCM of 2287 and 2283

Related Least Common Multiples of 2283

Related Least Common Multiples of 2287

Frequently Asked Questions on LCM of 2283 and 2287

1. What is the LCM of 2283 and 2287?

Answer: LCM of 2283 and 2287 is 5221221.

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 2287?

Answer: Factors of 2287 are 1, 2287. There are 2 integers that are factors of 2287. The greatest factor of 2287 is 2287.

4. How to Find the LCM of 2283 and 2287?

Answer:

Least Common Multiple of 2283 and 2287 = 5221221

Step 1: Find the prime factorization of 2283

2283 = 3 x 761

Step 2: Find the prime factorization of 2287

2287 = 2287

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

LCM = 5221221 = 3 x 761 x 2287

Step 4: Therefore, the least common multiple of 2283 and 2287 is 5221221.