Least Common Multiple of 2375 and 2380

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 2380 the smallest integer that is 1130500 that is divisible by both numbers.

Least Common Multiple (LCM) of 2375 and 2380 is 1130500.

LCM(2375,2380) = 1130500

LCM of 2375 and 2380

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

LCM of:
and

Least Common Multiple of 2375 and 2380

LCM of 2375 and 2380 is 1130500

Least common multiple can be found by multiplying the highest exponent prime factors of 2375 and 2380. First we will calculate the prime factors of 2375 and 2380.

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 2380


2 2380
2 1190
5 595
7 119
17 17
1

Prime factors of 2380 are 2, 5, 7,17. Prime factorization of 2380 in exponential form is:

2380 = 22×51×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2375 and 2380.

LCM(2375,2380) = 22×53×71×171×191
LCM(2375,2380) = 1130500

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 2380

List of positive integer factors of 2380 that divides 2380 without a remainder.

1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 340, 476, 595, 1190, 2380

Least Common Multiple of 2375 and 2380 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 2380, than apply into the LCM equation.

GCF(2375,2380) = 5
LCM(2375,2380) = ( 2375 × 2380) / 5
LCM(2375,2380) = 5652500 / 5
LCM(2375,2380) = 1130500

Properties of LCM 2375 and 2380

(i) The LCM of 2380 and 2375 is associative

LCM of 2375 and 2380 = LCM of 2380 and 2375

Related Least Common Multiples of 2375

Related Least Common Multiples of 2380

Frequently Asked Questions on LCM of 2375 and 2380

1. What is the LCM of 2375 and 2380?

Answer: LCM of 2375 and 2380 is 1130500.

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 2380?

Answer: Factors of 2380 are 1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 340, 476, 595, 1190, 2380. There are 24 integers that are factors of 2380. The greatest factor of 2380 is 2380.

4. How to Find the LCM of 2375 and 2380?

Answer:

Least Common Multiple of 2375 and 2380 = 1130500

Step 1: Find the prime factorization of 2375

2375 = 5 x 5 x 5 x 19

Step 2: Find the prime factorization of 2380

2380 = 2 x 2 x 5 x 7 x 17

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

LCM = 1130500 = 2 x 2 x 5 x 5 x 5 x 7 x 17 x 19

Step 4: Therefore, the least common multiple of 2375 and 2380 is 1130500.