Least Common Multiple of 2367 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 2367 and 2375 the smallest integer that is 5621625 that is divisible by both numbers.

Least Common Multiple (LCM) of 2367 and 2375 is 5621625.

LCM(2367,2375) = 5621625

LCM of 2367 and 2375

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

LCM of:
and

Least Common Multiple of 2367 and 2375

LCM of 2367 and 2375 is 5621625

Least common multiple can be found by multiplying the highest exponent prime factors of 2367 and 2375. First we will calculate the prime factors of 2367 and 2375.

Prime Factorization of 2367


3 2367
3 789
263 263
1

Prime factors of 2367 are 3,263. Prime factorization of 2367 in exponential form is:

2367 = 32×2631

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 2367 and 2375.

LCM(2367,2375) = 32×53×191×2631
LCM(2367,2375) = 5621625

Factors of 2367

List of positive integer factors of 2367 that divides 2367 without a remainder.

1, 3, 9, 263, 789, 2367

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 2367 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 2367 and 2375, than apply into the LCM equation.

GCF(2367,2375) = 1
LCM(2367,2375) = ( 2367 × 2375) / 1
LCM(2367,2375) = 5621625 / 1
LCM(2367,2375) = 5621625

Properties of LCM 2367 and 2375

(i) The LCM of 2375 and 2367 is associative

LCM of 2367 and 2375 = LCM of 2375 and 2367

Related Least Common Multiples of 2367

Related Least Common Multiples of 2375

Frequently Asked Questions on LCM of 2367 and 2375

1. What is the LCM of 2367 and 2375?

Answer: LCM of 2367 and 2375 is 5621625.

2. What are the Factors of 2367?

Answer: Factors of 2367 are 1, 3, 9, 263, 789, 2367. There are 6 integers that are factors of 2367. The greatest factor of 2367 is 2367.

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 2367 and 2375?

Answer:

Least Common Multiple of 2367 and 2375 = 5621625

Step 1: Find the prime factorization of 2367

2367 = 3 x 3 x 263

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 = 5621625 = 3 x 3 x 5 x 5 x 5 x 19 x 263

Step 4: Therefore, the least common multiple of 2367 and 2375 is 5621625.