Least Common Multiple of 2375 and 2383

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 2383 the smallest integer that is 5659625 that is divisible by both numbers.

Least Common Multiple (LCM) of 2375 and 2383 is 5659625.

LCM(2375,2383) = 5659625

LCM of 2375 and 2383

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

LCM of:
and

Least Common Multiple of 2375 and 2383

LCM of 2375 and 2383 is 5659625

Least common multiple can be found by multiplying the highest exponent prime factors of 2375 and 2383. First we will calculate the prime factors of 2375 and 2383.

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 2383


2383 2383
1

Prime factors of 2383 are 2383. Prime factorization of 2383 in exponential form is:

2383 = 23831

Now multiplying the highest exponent prime factors to calculate the LCM of 2375 and 2383.

LCM(2375,2383) = 53×191×23831
LCM(2375,2383) = 5659625

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 2383

List of positive integer factors of 2383 that divides 2383 without a remainder.

1, 2383

Least Common Multiple of 2375 and 2383 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 2383, than apply into the LCM equation.

GCF(2375,2383) = 1
LCM(2375,2383) = ( 2375 × 2383) / 1
LCM(2375,2383) = 5659625 / 1
LCM(2375,2383) = 5659625

Properties of LCM 2375 and 2383

(i) The LCM of 2383 and 2375 is associative

LCM of 2375 and 2383 = LCM of 2383 and 2375

Related Least Common Multiples of 2375

Related Least Common Multiples of 2383

Frequently Asked Questions on LCM of 2375 and 2383

1. What is the LCM of 2375 and 2383?

Answer: LCM of 2375 and 2383 is 5659625.

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 2383?

Answer: Factors of 2383 are 1, 2383. There are 2 integers that are factors of 2383. The greatest factor of 2383 is 2383.

4. How to Find the LCM of 2375 and 2383?

Answer:

Least Common Multiple of 2375 and 2383 = 5659625

Step 1: Find the prime factorization of 2375

2375 = 5 x 5 x 5 x 19

Step 2: Find the prime factorization of 2383

2383 = 2383

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

LCM = 5659625 = 5 x 5 x 5 x 19 x 2383

Step 4: Therefore, the least common multiple of 2375 and 2383 is 5659625.