Least Common Multiple of 2368 and 2375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2368 and 2375 the smallest integer that is 5624000 that is divisible by both numbers.

Least Common Multiple (LCM) of 2368 and 2375 is 5624000.

LCM(2368,2375) = 5624000

LCM of 2368 and 2375

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

LCM of:
and

Least Common Multiple of 2368 and 2375

LCM of 2368 and 2375 is 5624000

Least common multiple can be found by multiplying the highest exponent prime factors of 2368 and 2375. First we will calculate the prime factors of 2368 and 2375.

Prime Factorization of 2368


2 2368
2 1184
2 592
2 296
2 148
2 74
37 37
1

Prime factors of 2368 are 2,37. Prime factorization of 2368 in exponential form is:

2368 = 26×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2368 and 2375.

LCM(2368,2375) = 26×53×191×371
LCM(2368,2375) = 5624000

Factors of 2368

List of positive integer factors of 2368 that divides 2368 without a remainder.

1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 2368

Factors of 2375

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

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

Least Common Multiple of 2368 and 2375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2368 and 2375, than apply into the LCM equation.

GCF(2368,2375) = 1
LCM(2368,2375) = ( 2368 × 2375) / 1
LCM(2368,2375) = 5624000 / 1
LCM(2368,2375) = 5624000

Properties of LCM 2368 and 2375

(i) The LCM of 2375 and 2368 is associative

LCM of 2368 and 2375 = LCM of 2375 and 2368

Related Least Common Multiples of 2368

Related Least Common Multiples of 2375

Frequently Asked Questions on LCM of 2368 and 2375

1. What is the LCM of 2368 and 2375?

Answer: LCM of 2368 and 2375 is 5624000.

2. What are the Factors of 2368?

Answer: Factors of 2368 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 2368. There are 14 integers that are factors of 2368. The greatest factor of 2368 is 2368.

3. 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.

4. How to Find the LCM of 2368 and 2375?

Answer:

Least Common Multiple of 2368 and 2375 = 5624000

Step 1: Find the prime factorization of 2368

2368 = 2 x 2 x 2 x 2 x 2 x 2 x 37

Step 2: Find the prime factorization of 2375

2375 = 5 x 5 x 5 x 19

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

LCM = 5624000 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 19 x 37

Step 4: Therefore, the least common multiple of 2368 and 2375 is 5624000.