Least Common Multiple of 2371 and 2377

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 2377 the smallest integer that is 5635867 that is divisible by both numbers.

Least Common Multiple (LCM) of 2371 and 2377 is 5635867.

LCM(2371,2377) = 5635867

LCM of 2371 and 2377

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

LCM of:
and

Least Common Multiple of 2371 and 2377

LCM of 2371 and 2377 is 5635867

Least common multiple can be found by multiplying the highest exponent prime factors of 2371 and 2377. First we will calculate the prime factors of 2371 and 2377.

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 2377


2377 2377
1

Prime factors of 2377 are 2377. Prime factorization of 2377 in exponential form is:

2377 = 23771

Now multiplying the highest exponent prime factors to calculate the LCM of 2371 and 2377.

LCM(2371,2377) = 23711×23771
LCM(2371,2377) = 5635867

Factors of 2371

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

1, 2371

Factors of 2377

List of positive integer factors of 2377 that divides 2377 without a remainder.

1, 2377

Least Common Multiple of 2371 and 2377 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 2377, than apply into the LCM equation.

GCF(2371,2377) = 1
LCM(2371,2377) = ( 2371 × 2377) / 1
LCM(2371,2377) = 5635867 / 1
LCM(2371,2377) = 5635867

Properties of LCM 2371 and 2377

(i) The LCM of 2377 and 2371 is associative

LCM of 2371 and 2377 = LCM of 2377 and 2371

Related Least Common Multiples of 2371

Related Least Common Multiples of 2377

Frequently Asked Questions on LCM of 2371 and 2377

1. What is the LCM of 2371 and 2377?

Answer: LCM of 2371 and 2377 is 5635867.

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 2377?

Answer: Factors of 2377 are 1, 2377. There are 2 integers that are factors of 2377. The greatest factor of 2377 is 2377.

4. How to Find the LCM of 2371 and 2377?

Answer:

Least Common Multiple of 2371 and 2377 = 5635867

Step 1: Find the prime factorization of 2371

2371 = 2371

Step 2: Find the prime factorization of 2377

2377 = 2377

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

LCM = 5635867 = 2371 x 2377

Step 4: Therefore, the least common multiple of 2371 and 2377 is 5635867.