Least Common Multiple of 2375 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 2375 and 2382 the smallest integer that is 5657250 that is divisible by both numbers.

Least Common Multiple (LCM) of 2375 and 2382 is 5657250.

LCM(2375,2382) = 5657250

LCM of 2375 and 2382

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

LCM of:
and

Least Common Multiple of 2375 and 2382

LCM of 2375 and 2382 is 5657250

Least common multiple can be found by multiplying the highest exponent prime factors of 2375 and 2382. First we will calculate the prime factors of 2375 and 2382.

Prime Factorization of 2375


5 2375
5 475
5 95
19 19
1

Prime factors of 2375 are 5,19. Prime factorization of 2375 in exponential form is:

2375 = 53×191

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 2375 and 2382.

LCM(2375,2382) = 21×31×53×191×3971
LCM(2375,2382) = 5657250

Factors of 2375

List of positive integer factors of 2375 that divides 2375 without a remainder.

1, 5, 19, 25, 95, 125, 475, 2375

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 2375 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 2375 and 2382, than apply into the LCM equation.

GCF(2375,2382) = 1
LCM(2375,2382) = ( 2375 × 2382) / 1
LCM(2375,2382) = 5657250 / 1
LCM(2375,2382) = 5657250

Properties of LCM 2375 and 2382

(i) The LCM of 2382 and 2375 is associative

LCM of 2375 and 2382 = LCM of 2382 and 2375

Related Least Common Multiples of 2375

Related Least Common Multiples of 2382

Frequently Asked Questions on LCM of 2375 and 2382

1. What is the LCM of 2375 and 2382?

Answer: LCM of 2375 and 2382 is 5657250.

2. What are the Factors of 2375?

Answer: Factors of 2375 are 1, 5, 19, 25, 95, 125, 475, 2375. There are 8 integers that are factors of 2375. The greatest factor of 2375 is 2375.

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 2375 and 2382?

Answer:

Least Common Multiple of 2375 and 2382 = 5657250

Step 1: Find the prime factorization of 2375

2375 = 5 x 5 x 5 x 19

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 = 5657250 = 2 x 3 x 5 x 5 x 5 x 19 x 397

Step 4: Therefore, the least common multiple of 2375 and 2382 is 5657250.