Least Common Multiple of 2361 and 2368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2361 and 2368 the smallest integer that is 5590848 that is divisible by both numbers.

Least Common Multiple (LCM) of 2361 and 2368 is 5590848.

LCM(2361,2368) = 5590848

LCM of 2361 and 2368

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

LCM of:
and

Least Common Multiple of 2361 and 2368

LCM of 2361 and 2368 is 5590848

Least common multiple can be found by multiplying the highest exponent prime factors of 2361 and 2368. First we will calculate the prime factors of 2361 and 2368.

Prime Factorization of 2361


3 2361
787 787
1

Prime factors of 2361 are 3,787. Prime factorization of 2361 in exponential form is:

2361 = 31×7871

Prime Factorization of 2368


2 2368
2 1184
2 592
2 296
2 148
2 74
37 37
1

Prime factors of 2368 are 2,37. Prime factorization of 2368 in exponential form is:

2368 = 26×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2361 and 2368.

LCM(2361,2368) = 26×31×371×7871
LCM(2361,2368) = 5590848

Factors of 2361

List of positive integer factors of 2361 that divides 2361 without a remainder.

1, 3, 787, 2361

Factors of 2368

List of positive integer factors of 2368 that divides 2368 without a remainder.

1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 2368

Least Common Multiple of 2361 and 2368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2361 and 2368, than apply into the LCM equation.

GCF(2361,2368) = 1
LCM(2361,2368) = ( 2361 × 2368) / 1
LCM(2361,2368) = 5590848 / 1
LCM(2361,2368) = 5590848

Properties of LCM 2361 and 2368

(i) The LCM of 2368 and 2361 is associative

LCM of 2361 and 2368 = LCM of 2368 and 2361

Related Least Common Multiples of 2361

Related Least Common Multiples of 2368

Frequently Asked Questions on LCM of 2361 and 2368

1. What is the LCM of 2361 and 2368?

Answer: LCM of 2361 and 2368 is 5590848.

2. What are the Factors of 2361?

Answer: Factors of 2361 are 1, 3, 787, 2361. There are 4 integers that are factors of 2361. The greatest factor of 2361 is 2361.

3. What are the Factors of 2368?

Answer: Factors of 2368 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 2368. There are 14 integers that are factors of 2368. The greatest factor of 2368 is 2368.

4. How to Find the LCM of 2361 and 2368?

Answer:

Least Common Multiple of 2361 and 2368 = 5590848

Step 1: Find the prime factorization of 2361

2361 = 3 x 787

Step 2: Find the prime factorization of 2368

2368 = 2 x 2 x 2 x 2 x 2 x 2 x 37

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

LCM = 5590848 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 37 x 787

Step 4: Therefore, the least common multiple of 2361 and 2368 is 5590848.