Least Common Multiple of 2284 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 2284 and 2289 the smallest integer that is 5228076 that is divisible by both numbers.

Least Common Multiple (LCM) of 2284 and 2289 is 5228076.

LCM(2284,2289) = 5228076

LCM of 2284 and 2289

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

LCM of:
and

Least Common Multiple of 2284 and 2289

LCM of 2284 and 2289 is 5228076

Least common multiple can be found by multiplying the highest exponent prime factors of 2284 and 2289. First we will calculate the prime factors of 2284 and 2289.

Prime Factorization of 2284


2 2284
2 1142
571 571
1

Prime factors of 2284 are 2,571. Prime factorization of 2284 in exponential form is:

2284 = 22×5711

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 2284 and 2289.

LCM(2284,2289) = 22×31×71×1091×5711
LCM(2284,2289) = 5228076

Factors of 2284

List of positive integer factors of 2284 that divides 2284 without a remainder.

1, 2, 4, 571, 1142, 2284

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 2284 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 2284 and 2289, than apply into the LCM equation.

GCF(2284,2289) = 1
LCM(2284,2289) = ( 2284 × 2289) / 1
LCM(2284,2289) = 5228076 / 1
LCM(2284,2289) = 5228076

Properties of LCM 2284 and 2289

(i) The LCM of 2289 and 2284 is associative

LCM of 2284 and 2289 = LCM of 2289 and 2284

Related Least Common Multiples of 2284

Related Least Common Multiples of 2289

Frequently Asked Questions on LCM of 2284 and 2289

1. What is the LCM of 2284 and 2289?

Answer: LCM of 2284 and 2289 is 5228076.

2. What are the Factors of 2284?

Answer: Factors of 2284 are 1, 2, 4, 571, 1142, 2284. There are 6 integers that are factors of 2284. The greatest factor of 2284 is 2284.

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 2284 and 2289?

Answer:

Least Common Multiple of 2284 and 2289 = 5228076

Step 1: Find the prime factorization of 2284

2284 = 2 x 2 x 571

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 = 5228076 = 2 x 2 x 3 x 7 x 109 x 571

Step 4: Therefore, the least common multiple of 2284 and 2289 is 5228076.