Least Common Multiple of 2364 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 2364 and 2368 the smallest integer that is 1399488 that is divisible by both numbers.

Least Common Multiple (LCM) of 2364 and 2368 is 1399488.

LCM(2364,2368) = 1399488

LCM of 2364 and 2368

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

LCM of:
and

Least Common Multiple of 2364 and 2368

LCM of 2364 and 2368 is 1399488

Least common multiple can be found by multiplying the highest exponent prime factors of 2364 and 2368. First we will calculate the prime factors of 2364 and 2368.

Prime Factorization of 2364


2 2364
2 1182
3 591
197 197
1

Prime factors of 2364 are 2, 3,197. Prime factorization of 2364 in exponential form is:

2364 = 22×31×1971

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 2364 and 2368.

LCM(2364,2368) = 26×31×371×1971
LCM(2364,2368) = 1399488

Factors of 2364

List of positive integer factors of 2364 that divides 2364 without a remainder.

1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182, 2364

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 2364 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 2364 and 2368, than apply into the LCM equation.

GCF(2364,2368) = 4
LCM(2364,2368) = ( 2364 × 2368) / 4
LCM(2364,2368) = 5597952 / 4
LCM(2364,2368) = 1399488

Properties of LCM 2364 and 2368

(i) The LCM of 2368 and 2364 is associative

LCM of 2364 and 2368 = LCM of 2368 and 2364

Related Least Common Multiples of 2364

Related Least Common Multiples of 2368

Frequently Asked Questions on LCM of 2364 and 2368

1. What is the LCM of 2364 and 2368?

Answer: LCM of 2364 and 2368 is 1399488.

2. What are the Factors of 2364?

Answer: Factors of 2364 are 1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182, 2364. There are 12 integers that are factors of 2364. The greatest factor of 2364 is 2364.

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 2364 and 2368?

Answer:

Least Common Multiple of 2364 and 2368 = 1399488

Step 1: Find the prime factorization of 2364

2364 = 2 x 2 x 3 x 197

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 = 1399488 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 37 x 197

Step 4: Therefore, the least common multiple of 2364 and 2368 is 1399488.