Least Common Multiple of 2277 and 2283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2277 and 2283 the smallest integer that is 1732797 that is divisible by both numbers.

Least Common Multiple (LCM) of 2277 and 2283 is 1732797.

LCM(2277,2283) = 1732797

LCM of 2277 and 2283

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

LCM of:
and

Least Common Multiple of 2277 and 2283

LCM of 2277 and 2283 is 1732797

Least common multiple can be found by multiplying the highest exponent prime factors of 2277 and 2283. First we will calculate the prime factors of 2277 and 2283.

Prime Factorization of 2277


3 2277
3 759
11 253
23 23
1

Prime factors of 2277 are 3, 11,23. Prime factorization of 2277 in exponential form is:

2277 = 32×111×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2277 and 2283.

LCM(2277,2283) = 32×111×231×7611
LCM(2277,2283) = 1732797

Factors of 2277

List of positive integer factors of 2277 that divides 2277 without a remainder.

1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 759, 2277

Factors of 2283

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

1, 3, 761, 2283

Least Common Multiple of 2277 and 2283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2277 and 2283, than apply into the LCM equation.

GCF(2277,2283) = 3
LCM(2277,2283) = ( 2277 × 2283) / 3
LCM(2277,2283) = 5198391 / 3
LCM(2277,2283) = 1732797

Properties of LCM 2277 and 2283

(i) The LCM of 2283 and 2277 is associative

LCM of 2277 and 2283 = LCM of 2283 and 2277

Related Least Common Multiples of 2277

Related Least Common Multiples of 2283

Frequently Asked Questions on LCM of 2277 and 2283

1. What is the LCM of 2277 and 2283?

Answer: LCM of 2277 and 2283 is 1732797.

2. What are the Factors of 2277?

Answer: Factors of 2277 are 1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 759, 2277. There are 12 integers that are factors of 2277. The greatest factor of 2277 is 2277.

3. 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.

4. How to Find the LCM of 2277 and 2283?

Answer:

Least Common Multiple of 2277 and 2283 = 1732797

Step 1: Find the prime factorization of 2277

2277 = 3 x 3 x 11 x 23

Step 2: Find the prime factorization of 2283

2283 = 3 x 761

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

LCM = 1732797 = 3 x 3 x 11 x 23 x 761

Step 4: Therefore, the least common multiple of 2277 and 2283 is 1732797.