Least Common Multiple of 2283 and 2289

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 2289 the smallest integer that is 1741929 that is divisible by both numbers.

Least Common Multiple (LCM) of 2283 and 2289 is 1741929.

LCM(2283,2289) = 1741929

LCM of 2283 and 2289

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

LCM of:
and

Least Common Multiple of 2283 and 2289

LCM of 2283 and 2289 is 1741929

Least common multiple can be found by multiplying the highest exponent prime factors of 2283 and 2289. First we will calculate the prime factors of 2283 and 2289.

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 2289


3 2289
7 763
109 109
1

Prime factors of 2289 are 3, 7,109. Prime factorization of 2289 in exponential form is:

2289 = 31×71×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 2283 and 2289.

LCM(2283,2289) = 31×71×1091×7611
LCM(2283,2289) = 1741929

Factors of 2283

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

1, 3, 761, 2283

Factors of 2289

List of positive integer factors of 2289 that divides 2289 without a remainder.

1, 3, 7, 21, 109, 327, 763, 2289

Least Common Multiple of 2283 and 2289 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 2289, than apply into the LCM equation.

GCF(2283,2289) = 3
LCM(2283,2289) = ( 2283 × 2289) / 3
LCM(2283,2289) = 5225787 / 3
LCM(2283,2289) = 1741929

Properties of LCM 2283 and 2289

(i) The LCM of 2289 and 2283 is associative

LCM of 2283 and 2289 = LCM of 2289 and 2283

Related Least Common Multiples of 2283

Related Least Common Multiples of 2289

Frequently Asked Questions on LCM of 2283 and 2289

1. What is the LCM of 2283 and 2289?

Answer: LCM of 2283 and 2289 is 1741929.

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 2289?

Answer: Factors of 2289 are 1, 3, 7, 21, 109, 327, 763, 2289. There are 8 integers that are factors of 2289. The greatest factor of 2289 is 2289.

4. How to Find the LCM of 2283 and 2289?

Answer:

Least Common Multiple of 2283 and 2289 = 1741929

Step 1: Find the prime factorization of 2283

2283 = 3 x 761

Step 2: Find the prime factorization of 2289

2289 = 3 x 7 x 109

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

LCM = 1741929 = 3 x 7 x 109 x 761

Step 4: Therefore, the least common multiple of 2283 and 2289 is 1741929.