Least Common Multiple of 2363 and 2367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2363 and 2367 the smallest integer that is 5593221 that is divisible by both numbers.

Least Common Multiple (LCM) of 2363 and 2367 is 5593221.

LCM(2363,2367) = 5593221

LCM of 2363 and 2367

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

LCM of:
and

Least Common Multiple of 2363 and 2367

LCM of 2363 and 2367 is 5593221

Least common multiple can be found by multiplying the highest exponent prime factors of 2363 and 2367. First we will calculate the prime factors of 2363 and 2367.

Prime Factorization of 2363


17 2363
139 139
1

Prime factors of 2363 are 17,139. Prime factorization of 2363 in exponential form is:

2363 = 171×1391

Prime Factorization of 2367


3 2367
3 789
263 263
1

Prime factors of 2367 are 3,263. Prime factorization of 2367 in exponential form is:

2367 = 32×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 2363 and 2367.

LCM(2363,2367) = 32×171×1391×2631
LCM(2363,2367) = 5593221

Factors of 2363

List of positive integer factors of 2363 that divides 2363 without a remainder.

1, 17, 139, 2363

Factors of 2367

List of positive integer factors of 2367 that divides 2367 without a remainder.

1, 3, 9, 263, 789, 2367

Least Common Multiple of 2363 and 2367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2363 and 2367, than apply into the LCM equation.

GCF(2363,2367) = 1
LCM(2363,2367) = ( 2363 × 2367) / 1
LCM(2363,2367) = 5593221 / 1
LCM(2363,2367) = 5593221

Properties of LCM 2363 and 2367

(i) The LCM of 2367 and 2363 is associative

LCM of 2363 and 2367 = LCM of 2367 and 2363

Related Least Common Multiples of 2363

Related Least Common Multiples of 2367

Frequently Asked Questions on LCM of 2363 and 2367

1. What is the LCM of 2363 and 2367?

Answer: LCM of 2363 and 2367 is 5593221.

2. What are the Factors of 2363?

Answer: Factors of 2363 are 1, 17, 139, 2363. There are 4 integers that are factors of 2363. The greatest factor of 2363 is 2363.

3. What are the Factors of 2367?

Answer: Factors of 2367 are 1, 3, 9, 263, 789, 2367. There are 6 integers that are factors of 2367. The greatest factor of 2367 is 2367.

4. How to Find the LCM of 2363 and 2367?

Answer:

Least Common Multiple of 2363 and 2367 = 5593221

Step 1: Find the prime factorization of 2363

2363 = 17 x 139

Step 2: Find the prime factorization of 2367

2367 = 3 x 3 x 263

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

LCM = 5593221 = 3 x 3 x 17 x 139 x 263

Step 4: Therefore, the least common multiple of 2363 and 2367 is 5593221.