Least Common Multiple of 2380 and 2385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2380 and 2385 the smallest integer that is 1135260 that is divisible by both numbers.

Least Common Multiple (LCM) of 2380 and 2385 is 1135260.

LCM(2380,2385) = 1135260

LCM of 2380 and 2385

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

LCM of:
and

Least Common Multiple of 2380 and 2385

LCM of 2380 and 2385 is 1135260

Least common multiple can be found by multiplying the highest exponent prime factors of 2380 and 2385. First we will calculate the prime factors of 2380 and 2385.

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

Prime Factorization of 2385


3 2385
3 795
5 265
53 53
1

Prime factors of 2385 are 3, 5,53. Prime factorization of 2385 in exponential form is:

2385 = 32×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 2380 and 2385.

LCM(2380,2385) = 22×32×51×71×171×531
LCM(2380,2385) = 1135260

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

Factors of 2385

List of positive integer factors of 2385 that divides 2385 without a remainder.

1, 3, 5, 9, 15, 45, 53, 159, 265, 477, 795, 2385

Least Common Multiple of 2380 and 2385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2380 and 2385, than apply into the LCM equation.

GCF(2380,2385) = 5
LCM(2380,2385) = ( 2380 × 2385) / 5
LCM(2380,2385) = 5676300 / 5
LCM(2380,2385) = 1135260

Properties of LCM 2380 and 2385

(i) The LCM of 2385 and 2380 is associative

LCM of 2380 and 2385 = LCM of 2385 and 2380

Related Least Common Multiples of 2380

Related Least Common Multiples of 2385

Frequently Asked Questions on LCM of 2380 and 2385

1. What is the LCM of 2380 and 2385?

Answer: LCM of 2380 and 2385 is 1135260.

2. 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.

3. What are the Factors of 2385?

Answer: Factors of 2385 are 1, 3, 5, 9, 15, 45, 53, 159, 265, 477, 795, 2385. There are 12 integers that are factors of 2385. The greatest factor of 2385 is 2385.

4. How to Find the LCM of 2380 and 2385?

Answer:

Least Common Multiple of 2380 and 2385 = 1135260

Step 1: Find the prime factorization of 2380

2380 = 2 x 2 x 5 x 7 x 17

Step 2: Find the prime factorization of 2385

2385 = 3 x 3 x 5 x 53

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

LCM = 1135260 = 2 x 2 x 3 x 3 x 5 x 7 x 17 x 53

Step 4: Therefore, the least common multiple of 2380 and 2385 is 1135260.