Least Common Multiple of 2380 and 2381

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 2381 the smallest integer that is 5666780 that is divisible by both numbers.

Least Common Multiple (LCM) of 2380 and 2381 is 5666780.

LCM(2380,2381) = 5666780

LCM of 2380 and 2381

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

LCM of:
and

Least Common Multiple of 2380 and 2381

LCM of 2380 and 2381 is 5666780

Least common multiple can be found by multiplying the highest exponent prime factors of 2380 and 2381. First we will calculate the prime factors of 2380 and 2381.

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 2381


2381 2381
1

Prime factors of 2381 are 2381. Prime factorization of 2381 in exponential form is:

2381 = 23811

Now multiplying the highest exponent prime factors to calculate the LCM of 2380 and 2381.

LCM(2380,2381) = 22×51×71×171×23811
LCM(2380,2381) = 5666780

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 2381

List of positive integer factors of 2381 that divides 2381 without a remainder.

1, 2381

Least Common Multiple of 2380 and 2381 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 2381, than apply into the LCM equation.

GCF(2380,2381) = 1
LCM(2380,2381) = ( 2380 × 2381) / 1
LCM(2380,2381) = 5666780 / 1
LCM(2380,2381) = 5666780

Properties of LCM 2380 and 2381

(i) The LCM of 2381 and 2380 is associative

LCM of 2380 and 2381 = LCM of 2381 and 2380

Related Least Common Multiples of 2380

Related Least Common Multiples of 2381

Frequently Asked Questions on LCM of 2380 and 2381

1. What is the LCM of 2380 and 2381?

Answer: LCM of 2380 and 2381 is 5666780.

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 2381?

Answer: Factors of 2381 are 1, 2381. There are 2 integers that are factors of 2381. The greatest factor of 2381 is 2381.

4. How to Find the LCM of 2380 and 2381?

Answer:

Least Common Multiple of 2380 and 2381 = 5666780

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 2381

2381 = 2381

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

LCM = 5666780 = 2 x 2 x 5 x 7 x 17 x 2381

Step 4: Therefore, the least common multiple of 2380 and 2381 is 5666780.