Least Common Multiple of 2371 and 2379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2371 and 2379 the smallest integer that is 5640609 that is divisible by both numbers.

Least Common Multiple (LCM) of 2371 and 2379 is 5640609.

LCM(2371,2379) = 5640609

LCM of 2371 and 2379

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

LCM of:
and

Least Common Multiple of 2371 and 2379

LCM of 2371 and 2379 is 5640609

Least common multiple can be found by multiplying the highest exponent prime factors of 2371 and 2379. First we will calculate the prime factors of 2371 and 2379.

Prime Factorization of 2371


2371 2371
1

Prime factors of 2371 are 2371. Prime factorization of 2371 in exponential form is:

2371 = 23711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2371 and 2379.

LCM(2371,2379) = 31×131×611×23711
LCM(2371,2379) = 5640609

Factors of 2371

List of positive integer factors of 2371 that divides 2371 without a remainder.

1, 2371

Factors of 2379

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

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

Least Common Multiple of 2371 and 2379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2371 and 2379, than apply into the LCM equation.

GCF(2371,2379) = 1
LCM(2371,2379) = ( 2371 × 2379) / 1
LCM(2371,2379) = 5640609 / 1
LCM(2371,2379) = 5640609

Properties of LCM 2371 and 2379

(i) The LCM of 2379 and 2371 is associative

LCM of 2371 and 2379 = LCM of 2379 and 2371

Related Least Common Multiples of 2371

Related Least Common Multiples of 2379

Frequently Asked Questions on LCM of 2371 and 2379

1. What is the LCM of 2371 and 2379?

Answer: LCM of 2371 and 2379 is 5640609.

2. What are the Factors of 2371?

Answer: Factors of 2371 are 1, 2371. There are 2 integers that are factors of 2371. The greatest factor of 2371 is 2371.

3. 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.

4. How to Find the LCM of 2371 and 2379?

Answer:

Least Common Multiple of 2371 and 2379 = 5640609

Step 1: Find the prime factorization of 2371

2371 = 2371

Step 2: Find the prime factorization of 2379

2379 = 3 x 13 x 61

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

LCM = 5640609 = 3 x 13 x 61 x 2371

Step 4: Therefore, the least common multiple of 2371 and 2379 is 5640609.