Least Common Multiple of 2377 and 2385

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 2385 the smallest integer that is 5669145 that is divisible by both numbers.

Least Common Multiple (LCM) of 2377 and 2385 is 5669145.

LCM(2377,2385) = 5669145

LCM of 2377 and 2385

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

LCM of:
and

Least Common Multiple of 2377 and 2385

LCM of 2377 and 2385 is 5669145

Least common multiple can be found by multiplying the highest exponent prime factors of 2377 and 2385. First we will calculate the prime factors of 2377 and 2385.

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 2385


3 2385
3 795
5 265
53 53
1

Prime factors of 2385 are 3, 5,53. Prime factorization of 2385 in exponential form is:

2385 = 32×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 2377 and 2385.

LCM(2377,2385) = 32×51×531×23771
LCM(2377,2385) = 5669145

Factors of 2377

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

1, 2377

Factors of 2385

List of positive integer factors of 2385 that divides 2385 without a remainder.

1, 3, 5, 9, 15, 45, 53, 159, 265, 477, 795, 2385

Least Common Multiple of 2377 and 2385 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 2385, than apply into the LCM equation.

GCF(2377,2385) = 1
LCM(2377,2385) = ( 2377 × 2385) / 1
LCM(2377,2385) = 5669145 / 1
LCM(2377,2385) = 5669145

Properties of LCM 2377 and 2385

(i) The LCM of 2385 and 2377 is associative

LCM of 2377 and 2385 = LCM of 2385 and 2377

Related Least Common Multiples of 2377

Related Least Common Multiples of 2385

Frequently Asked Questions on LCM of 2377 and 2385

1. What is the LCM of 2377 and 2385?

Answer: LCM of 2377 and 2385 is 5669145.

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 2385?

Answer: Factors of 2385 are 1, 3, 5, 9, 15, 45, 53, 159, 265, 477, 795, 2385. There are 12 integers that are factors of 2385. The greatest factor of 2385 is 2385.

4. How to Find the LCM of 2377 and 2385?

Answer:

Least Common Multiple of 2377 and 2385 = 5669145

Step 1: Find the prime factorization of 2377

2377 = 2377

Step 2: Find the prime factorization of 2385

2385 = 3 x 3 x 5 x 53

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

LCM = 5669145 = 3 x 3 x 5 x 53 x 2377

Step 4: Therefore, the least common multiple of 2377 and 2385 is 5669145.