Least Common Multiple of 2376 and 2381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2376 and 2381 the smallest integer that is 5657256 that is divisible by both numbers.

Least Common Multiple (LCM) of 2376 and 2381 is 5657256.

LCM(2376,2381) = 5657256

LCM of 2376 and 2381

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

LCM of:
and

Least Common Multiple of 2376 and 2381

LCM of 2376 and 2381 is 5657256

Least common multiple can be found by multiplying the highest exponent prime factors of 2376 and 2381. First we will calculate the prime factors of 2376 and 2381.

Prime Factorization of 2376


2 2376
2 1188
2 594
3 297
3 99
3 33
11 11
1

Prime factors of 2376 are 2, 3,11. Prime factorization of 2376 in exponential form is:

2376 = 23×33×111

Prime Factorization of 2381


2381 2381
1

Prime factors of 2381 are 2381. Prime factorization of 2381 in exponential form is:

2381 = 23811

Now multiplying the highest exponent prime factors to calculate the LCM of 2376 and 2381.

LCM(2376,2381) = 23×33×111×23811
LCM(2376,2381) = 5657256

Factors of 2376

List of positive integer factors of 2376 that divides 2376 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 88, 99, 108, 132, 198, 216, 264, 297, 396, 594, 792, 1188, 2376

Factors of 2381

List of positive integer factors of 2381 that divides 2381 without a remainder.

1, 2381

Least Common Multiple of 2376 and 2381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2376 and 2381, than apply into the LCM equation.

GCF(2376,2381) = 1
LCM(2376,2381) = ( 2376 × 2381) / 1
LCM(2376,2381) = 5657256 / 1
LCM(2376,2381) = 5657256

Properties of LCM 2376 and 2381

(i) The LCM of 2381 and 2376 is associative

LCM of 2376 and 2381 = LCM of 2381 and 2376

Related Least Common Multiples of 2376

Related Least Common Multiples of 2381

Frequently Asked Questions on LCM of 2376 and 2381

1. What is the LCM of 2376 and 2381?

Answer: LCM of 2376 and 2381 is 5657256.

2. What are the Factors of 2376?

Answer: Factors of 2376 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 88, 99, 108, 132, 198, 216, 264, 297, 396, 594, 792, 1188, 2376. There are 32 integers that are factors of 2376. The greatest factor of 2376 is 2376.

3. What are the Factors of 2381?

Answer: Factors of 2381 are 1, 2381. There are 2 integers that are factors of 2381. The greatest factor of 2381 is 2381.

4. How to Find the LCM of 2376 and 2381?

Answer:

Least Common Multiple of 2376 and 2381 = 5657256

Step 1: Find the prime factorization of 2376

2376 = 2 x 2 x 2 x 3 x 3 x 3 x 11

Step 2: Find the prime factorization of 2381

2381 = 2381

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

LCM = 5657256 = 2 x 2 x 2 x 3 x 3 x 3 x 11 x 2381

Step 4: Therefore, the least common multiple of 2376 and 2381 is 5657256.