Least Common Multiple of 2376 and 2382

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 2382 the smallest integer that is 943272 that is divisible by both numbers.

Least Common Multiple (LCM) of 2376 and 2382 is 943272.

LCM(2376,2382) = 943272

LCM of 2376 and 2382

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

LCM of:
and

Least Common Multiple of 2376 and 2382

LCM of 2376 and 2382 is 943272

Least common multiple can be found by multiplying the highest exponent prime factors of 2376 and 2382. First we will calculate the prime factors of 2376 and 2382.

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 2382


2 2382
3 1191
397 397
1

Prime factors of 2382 are 2, 3,397. Prime factorization of 2382 in exponential form is:

2382 = 21×31×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 2376 and 2382.

LCM(2376,2382) = 23×33×111×3971
LCM(2376,2382) = 943272

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 2382

List of positive integer factors of 2382 that divides 2382 without a remainder.

1, 2, 3, 6, 397, 794, 1191, 2382

Least Common Multiple of 2376 and 2382 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 2382, than apply into the LCM equation.

GCF(2376,2382) = 6
LCM(2376,2382) = ( 2376 × 2382) / 6
LCM(2376,2382) = 5659632 / 6
LCM(2376,2382) = 943272

Properties of LCM 2376 and 2382

(i) The LCM of 2382 and 2376 is associative

LCM of 2376 and 2382 = LCM of 2382 and 2376

Related Least Common Multiples of 2376

Related Least Common Multiples of 2382

Frequently Asked Questions on LCM of 2376 and 2382

1. What is the LCM of 2376 and 2382?

Answer: LCM of 2376 and 2382 is 943272.

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 2382?

Answer: Factors of 2382 are 1, 2, 3, 6, 397, 794, 1191, 2382. There are 8 integers that are factors of 2382. The greatest factor of 2382 is 2382.

4. How to Find the LCM of 2376 and 2382?

Answer:

Least Common Multiple of 2376 and 2382 = 943272

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 2382

2382 = 2 x 3 x 397

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

LCM = 943272 = 2 x 2 x 2 x 3 x 3 x 3 x 11 x 397

Step 4: Therefore, the least common multiple of 2376 and 2382 is 943272.