Least Common Multiple of 2378 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 2378 and 2380 the smallest integer that is 2829820 that is divisible by both numbers.

Least Common Multiple (LCM) of 2378 and 2380 is 2829820.

LCM(2378,2380) = 2829820

LCM of 2378 and 2380

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

LCM of:
and

Least Common Multiple of 2378 and 2380

LCM of 2378 and 2380 is 2829820

Least common multiple can be found by multiplying the highest exponent prime factors of 2378 and 2380. First we will calculate the prime factors of 2378 and 2380.

Prime Factorization of 2378


2 2378
29 1189
41 41
1

Prime factors of 2378 are 2, 29,41. Prime factorization of 2378 in exponential form is:

2378 = 21×291×411

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 2378 and 2380.

LCM(2378,2380) = 22×51×71×171×291×411
LCM(2378,2380) = 2829820

Factors of 2378

List of positive integer factors of 2378 that divides 2378 without a remainder.

1, 2, 29, 41, 58, 82, 1189, 2378

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 2378 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 2378 and 2380, than apply into the LCM equation.

GCF(2378,2380) = 2
LCM(2378,2380) = ( 2378 × 2380) / 2
LCM(2378,2380) = 5659640 / 2
LCM(2378,2380) = 2829820

Properties of LCM 2378 and 2380

(i) The LCM of 2380 and 2378 is associative

LCM of 2378 and 2380 = LCM of 2380 and 2378

Related Least Common Multiples of 2378

Related Least Common Multiples of 2380

Frequently Asked Questions on LCM of 2378 and 2380

1. What is the LCM of 2378 and 2380?

Answer: LCM of 2378 and 2380 is 2829820.

2. What are the Factors of 2378?

Answer: Factors of 2378 are 1, 2, 29, 41, 58, 82, 1189, 2378. There are 8 integers that are factors of 2378. The greatest factor of 2378 is 2378.

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 2378 and 2380?

Answer:

Least Common Multiple of 2378 and 2380 = 2829820

Step 1: Find the prime factorization of 2378

2378 = 2 x 29 x 41

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 = 2829820 = 2 x 2 x 5 x 7 x 17 x 29 x 41

Step 4: Therefore, the least common multiple of 2378 and 2380 is 2829820.