Least Common Multiple of 2379 and 2386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2379 and 2386 the smallest integer that is 5676294 that is divisible by both numbers.

Least Common Multiple (LCM) of 2379 and 2386 is 5676294.

LCM(2379,2386) = 5676294

LCM of 2379 and 2386

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

LCM of:
and

Least Common Multiple of 2379 and 2386

LCM of 2379 and 2386 is 5676294

Least common multiple can be found by multiplying the highest exponent prime factors of 2379 and 2386. First we will calculate the prime factors of 2379 and 2386.

Prime Factorization of 2379


3 2379
13 793
61 61
1

Prime factors of 2379 are 3, 13,61. Prime factorization of 2379 in exponential form is:

2379 = 31×131×611

Prime Factorization of 2386


2 2386
1193 1193
1

Prime factors of 2386 are 2,1193. Prime factorization of 2386 in exponential form is:

2386 = 21×11931

Now multiplying the highest exponent prime factors to calculate the LCM of 2379 and 2386.

LCM(2379,2386) = 21×31×131×611×11931
LCM(2379,2386) = 5676294

Factors of 2379

List of positive integer factors of 2379 that divides 2379 without a remainder.

1, 3, 13, 39, 61, 183, 793, 2379

Factors of 2386

List of positive integer factors of 2386 that divides 2386 without a remainder.

1, 2, 1193, 2386

Least Common Multiple of 2379 and 2386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2379 and 2386, than apply into the LCM equation.

GCF(2379,2386) = 1
LCM(2379,2386) = ( 2379 × 2386) / 1
LCM(2379,2386) = 5676294 / 1
LCM(2379,2386) = 5676294

Properties of LCM 2379 and 2386

(i) The LCM of 2386 and 2379 is associative

LCM of 2379 and 2386 = LCM of 2386 and 2379

Related Least Common Multiples of 2379

Related Least Common Multiples of 2386

Frequently Asked Questions on LCM of 2379 and 2386

1. What is the LCM of 2379 and 2386?

Answer: LCM of 2379 and 2386 is 5676294.

2. What are the Factors of 2379?

Answer: Factors of 2379 are 1, 3, 13, 39, 61, 183, 793, 2379. There are 8 integers that are factors of 2379. The greatest factor of 2379 is 2379.

3. What are the Factors of 2386?

Answer: Factors of 2386 are 1, 2, 1193, 2386. There are 4 integers that are factors of 2386. The greatest factor of 2386 is 2386.

4. How to Find the LCM of 2379 and 2386?

Answer:

Least Common Multiple of 2379 and 2386 = 5676294

Step 1: Find the prime factorization of 2379

2379 = 3 x 13 x 61

Step 2: Find the prime factorization of 2386

2386 = 2 x 1193

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

LCM = 5676294 = 2 x 3 x 13 x 61 x 1193

Step 4: Therefore, the least common multiple of 2379 and 2386 is 5676294.