Least Common Multiple of 2378 and 2384

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 2384 the smallest integer that is 2834576 that is divisible by both numbers.

Least Common Multiple (LCM) of 2378 and 2384 is 2834576.

LCM(2378,2384) = 2834576

LCM of 2378 and 2384

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

LCM of:
and

Least Common Multiple of 2378 and 2384

LCM of 2378 and 2384 is 2834576

Least common multiple can be found by multiplying the highest exponent prime factors of 2378 and 2384. First we will calculate the prime factors of 2378 and 2384.

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 2384


2 2384
2 1192
2 596
2 298
149 149
1

Prime factors of 2384 are 2,149. Prime factorization of 2384 in exponential form is:

2384 = 24×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 2378 and 2384.

LCM(2378,2384) = 24×291×411×1491
LCM(2378,2384) = 2834576

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 2384

List of positive integer factors of 2384 that divides 2384 without a remainder.

1, 2, 4, 8, 16, 149, 298, 596, 1192, 2384

Least Common Multiple of 2378 and 2384 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 2384, than apply into the LCM equation.

GCF(2378,2384) = 2
LCM(2378,2384) = ( 2378 × 2384) / 2
LCM(2378,2384) = 5669152 / 2
LCM(2378,2384) = 2834576

Properties of LCM 2378 and 2384

(i) The LCM of 2384 and 2378 is associative

LCM of 2378 and 2384 = LCM of 2384 and 2378

Related Least Common Multiples of 2378

Related Least Common Multiples of 2384

Frequently Asked Questions on LCM of 2378 and 2384

1. What is the LCM of 2378 and 2384?

Answer: LCM of 2378 and 2384 is 2834576.

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 2384?

Answer: Factors of 2384 are 1, 2, 4, 8, 16, 149, 298, 596, 1192, 2384. There are 10 integers that are factors of 2384. The greatest factor of 2384 is 2384.

4. How to Find the LCM of 2378 and 2384?

Answer:

Least Common Multiple of 2378 and 2384 = 2834576

Step 1: Find the prime factorization of 2378

2378 = 2 x 29 x 41

Step 2: Find the prime factorization of 2384

2384 = 2 x 2 x 2 x 2 x 149

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

LCM = 2834576 = 2 x 2 x 2 x 2 x 29 x 41 x 149

Step 4: Therefore, the least common multiple of 2378 and 2384 is 2834576.