Least Common Multiple of 2371 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 2371 and 2375 the smallest integer that is 5631125 that is divisible by both numbers.

Least Common Multiple (LCM) of 2371 and 2375 is 5631125.

LCM(2371,2375) = 5631125

LCM of 2371 and 2375

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

LCM of:
and

Least Common Multiple of 2371 and 2375

LCM of 2371 and 2375 is 5631125

Least common multiple can be found by multiplying the highest exponent prime factors of 2371 and 2375. First we will calculate the prime factors of 2371 and 2375.

Prime Factorization of 2371


2371 2371
1

Prime factors of 2371 are 2371. Prime factorization of 2371 in exponential form is:

2371 = 23711

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 2371 and 2375.

LCM(2371,2375) = 53×191×23711
LCM(2371,2375) = 5631125

Factors of 2371

List of positive integer factors of 2371 that divides 2371 without a remainder.

1, 2371

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 2371 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 2371 and 2375, than apply into the LCM equation.

GCF(2371,2375) = 1
LCM(2371,2375) = ( 2371 × 2375) / 1
LCM(2371,2375) = 5631125 / 1
LCM(2371,2375) = 5631125

Properties of LCM 2371 and 2375

(i) The LCM of 2375 and 2371 is associative

LCM of 2371 and 2375 = LCM of 2375 and 2371

Related Least Common Multiples of 2371

Related Least Common Multiples of 2375

Frequently Asked Questions on LCM of 2371 and 2375

1. What is the LCM of 2371 and 2375?

Answer: LCM of 2371 and 2375 is 5631125.

2. What are the Factors of 2371?

Answer: Factors of 2371 are 1, 2371. There are 2 integers that are factors of 2371. The greatest factor of 2371 is 2371.

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 2371 and 2375?

Answer:

Least Common Multiple of 2371 and 2375 = 5631125

Step 1: Find the prime factorization of 2371

2371 = 2371

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 = 5631125 = 5 x 5 x 5 x 19 x 2371

Step 4: Therefore, the least common multiple of 2371 and 2375 is 5631125.