Least Common Multiple of 2377 and 2383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2377 and 2383 the smallest integer that is 5664391 that is divisible by both numbers.

Least Common Multiple (LCM) of 2377 and 2383 is 5664391.

LCM(2377,2383) = 5664391

LCM of 2377 and 2383

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

LCM of:
and

Least Common Multiple of 2377 and 2383

LCM of 2377 and 2383 is 5664391

Least common multiple can be found by multiplying the highest exponent prime factors of 2377 and 2383. First we will calculate the prime factors of 2377 and 2383.

Prime Factorization of 2377


2377 2377
1

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

2377 = 23771

Prime Factorization of 2383


2383 2383
1

Prime factors of 2383 are 2383. Prime factorization of 2383 in exponential form is:

2383 = 23831

Now multiplying the highest exponent prime factors to calculate the LCM of 2377 and 2383.

LCM(2377,2383) = 23771×23831
LCM(2377,2383) = 5664391

Factors of 2377

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

1, 2377

Factors of 2383

List of positive integer factors of 2383 that divides 2383 without a remainder.

1, 2383

Least Common Multiple of 2377 and 2383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2377 and 2383, than apply into the LCM equation.

GCF(2377,2383) = 1
LCM(2377,2383) = ( 2377 × 2383) / 1
LCM(2377,2383) = 5664391 / 1
LCM(2377,2383) = 5664391

Properties of LCM 2377 and 2383

(i) The LCM of 2383 and 2377 is associative

LCM of 2377 and 2383 = LCM of 2383 and 2377

Related Least Common Multiples of 2377

Related Least Common Multiples of 2383

Frequently Asked Questions on LCM of 2377 and 2383

1. What is the LCM of 2377 and 2383?

Answer: LCM of 2377 and 2383 is 5664391.

2. 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.

3. What are the Factors of 2383?

Answer: Factors of 2383 are 1, 2383. There are 2 integers that are factors of 2383. The greatest factor of 2383 is 2383.

4. How to Find the LCM of 2377 and 2383?

Answer:

Least Common Multiple of 2377 and 2383 = 5664391

Step 1: Find the prime factorization of 2377

2377 = 2377

Step 2: Find the prime factorization of 2383

2383 = 2383

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

LCM = 5664391 = 2377 x 2383

Step 4: Therefore, the least common multiple of 2377 and 2383 is 5664391.