Least Common Multiple of 2283 and 2290

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 2290 the smallest integer that is 5228070 that is divisible by both numbers.

Least Common Multiple (LCM) of 2283 and 2290 is 5228070.

LCM(2283,2290) = 5228070

LCM of 2283 and 2290

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

LCM of:
and

Least Common Multiple of 2283 and 2290

LCM of 2283 and 2290 is 5228070

Least common multiple can be found by multiplying the highest exponent prime factors of 2283 and 2290. First we will calculate the prime factors of 2283 and 2290.

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 2290


2 2290
5 1145
229 229
1

Prime factors of 2290 are 2, 5,229. Prime factorization of 2290 in exponential form is:

2290 = 21×51×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 2283 and 2290.

LCM(2283,2290) = 21×31×51×2291×7611
LCM(2283,2290) = 5228070

Factors of 2283

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

1, 3, 761, 2283

Factors of 2290

List of positive integer factors of 2290 that divides 2290 without a remainder.

1, 2, 5, 10, 229, 458, 1145, 2290

Least Common Multiple of 2283 and 2290 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 2290, than apply into the LCM equation.

GCF(2283,2290) = 1
LCM(2283,2290) = ( 2283 × 2290) / 1
LCM(2283,2290) = 5228070 / 1
LCM(2283,2290) = 5228070

Properties of LCM 2283 and 2290

(i) The LCM of 2290 and 2283 is associative

LCM of 2283 and 2290 = LCM of 2290 and 2283

Related Least Common Multiples of 2283

Related Least Common Multiples of 2290

Frequently Asked Questions on LCM of 2283 and 2290

1. What is the LCM of 2283 and 2290?

Answer: LCM of 2283 and 2290 is 5228070.

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 2290?

Answer: Factors of 2290 are 1, 2, 5, 10, 229, 458, 1145, 2290. There are 8 integers that are factors of 2290. The greatest factor of 2290 is 2290.

4. How to Find the LCM of 2283 and 2290?

Answer:

Least Common Multiple of 2283 and 2290 = 5228070

Step 1: Find the prime factorization of 2283

2283 = 3 x 761

Step 2: Find the prime factorization of 2290

2290 = 2 x 5 x 229

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

LCM = 5228070 = 2 x 3 x 5 x 229 x 761

Step 4: Therefore, the least common multiple of 2283 and 2290 is 5228070.