Least Common Multiple of 2367 and 2372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2367 and 2372 the smallest integer that is 5614524 that is divisible by both numbers.

Least Common Multiple (LCM) of 2367 and 2372 is 5614524.

LCM(2367,2372) = 5614524

LCM of 2367 and 2372

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

LCM of:
and

Least Common Multiple of 2367 and 2372

LCM of 2367 and 2372 is 5614524

Least common multiple can be found by multiplying the highest exponent prime factors of 2367 and 2372. First we will calculate the prime factors of 2367 and 2372.

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

Prime Factorization of 2372


2 2372
2 1186
593 593
1

Prime factors of 2372 are 2,593. Prime factorization of 2372 in exponential form is:

2372 = 22×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 2367 and 2372.

LCM(2367,2372) = 22×32×2631×5931
LCM(2367,2372) = 5614524

Factors of 2367

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

1, 3, 9, 263, 789, 2367

Factors of 2372

List of positive integer factors of 2372 that divides 2372 without a remainder.

1, 2, 4, 593, 1186, 2372

Least Common Multiple of 2367 and 2372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2367 and 2372, than apply into the LCM equation.

GCF(2367,2372) = 1
LCM(2367,2372) = ( 2367 × 2372) / 1
LCM(2367,2372) = 5614524 / 1
LCM(2367,2372) = 5614524

Properties of LCM 2367 and 2372

(i) The LCM of 2372 and 2367 is associative

LCM of 2367 and 2372 = LCM of 2372 and 2367

Related Least Common Multiples of 2367

Related Least Common Multiples of 2372

Frequently Asked Questions on LCM of 2367 and 2372

1. What is the LCM of 2367 and 2372?

Answer: LCM of 2367 and 2372 is 5614524.

2. 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.

3. What are the Factors of 2372?

Answer: Factors of 2372 are 1, 2, 4, 593, 1186, 2372. There are 6 integers that are factors of 2372. The greatest factor of 2372 is 2372.

4. How to Find the LCM of 2367 and 2372?

Answer:

Least Common Multiple of 2367 and 2372 = 5614524

Step 1: Find the prime factorization of 2367

2367 = 3 x 3 x 263

Step 2: Find the prime factorization of 2372

2372 = 2 x 2 x 593

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

LCM = 5614524 = 2 x 2 x 3 x 3 x 263 x 593

Step 4: Therefore, the least common multiple of 2367 and 2372 is 5614524.