Least Common Multiple of 2375 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 2375 and 2381 the smallest integer that is 5654875 that is divisible by both numbers.

Least Common Multiple (LCM) of 2375 and 2381 is 5654875.

LCM(2375,2381) = 5654875

LCM of 2375 and 2381

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

LCM of:
and

Least Common Multiple of 2375 and 2381

LCM of 2375 and 2381 is 5654875

Least common multiple can be found by multiplying the highest exponent prime factors of 2375 and 2381. First we will calculate the prime factors of 2375 and 2381.

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 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 2375 and 2381.

LCM(2375,2381) = 53×191×23811
LCM(2375,2381) = 5654875

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 2381

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

1, 2381

Least Common Multiple of 2375 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 2375 and 2381, than apply into the LCM equation.

GCF(2375,2381) = 1
LCM(2375,2381) = ( 2375 × 2381) / 1
LCM(2375,2381) = 5654875 / 1
LCM(2375,2381) = 5654875

Properties of LCM 2375 and 2381

(i) The LCM of 2381 and 2375 is associative

LCM of 2375 and 2381 = LCM of 2381 and 2375

Related Least Common Multiples of 2375

Related Least Common Multiples of 2381

Frequently Asked Questions on LCM of 2375 and 2381

1. What is the LCM of 2375 and 2381?

Answer: LCM of 2375 and 2381 is 5654875.

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 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 2375 and 2381?

Answer:

Least Common Multiple of 2375 and 2381 = 5654875

Step 1: Find the prime factorization of 2375

2375 = 5 x 5 x 5 x 19

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 = 5654875 = 5 x 5 x 5 x 19 x 2381

Step 4: Therefore, the least common multiple of 2375 and 2381 is 5654875.