Least Common Multiple of 2364 and 2369

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 2369 the smallest integer that is 5600316 that is divisible by both numbers.

Least Common Multiple (LCM) of 2364 and 2369 is 5600316.

LCM(2364,2369) = 5600316

LCM of 2364 and 2369

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

LCM of:
and

Least Common Multiple of 2364 and 2369

LCM of 2364 and 2369 is 5600316

Least common multiple can be found by multiplying the highest exponent prime factors of 2364 and 2369. First we will calculate the prime factors of 2364 and 2369.

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 2369


23 2369
103 103
1

Prime factors of 2369 are 23,103. Prime factorization of 2369 in exponential form is:

2369 = 231×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 2364 and 2369.

LCM(2364,2369) = 22×31×231×1031×1971
LCM(2364,2369) = 5600316

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 2369

List of positive integer factors of 2369 that divides 2369 without a remainder.

1, 23, 103, 2369

Least Common Multiple of 2364 and 2369 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 2369, than apply into the LCM equation.

GCF(2364,2369) = 1
LCM(2364,2369) = ( 2364 × 2369) / 1
LCM(2364,2369) = 5600316 / 1
LCM(2364,2369) = 5600316

Properties of LCM 2364 and 2369

(i) The LCM of 2369 and 2364 is associative

LCM of 2364 and 2369 = LCM of 2369 and 2364

Related Least Common Multiples of 2364

Related Least Common Multiples of 2369

Frequently Asked Questions on LCM of 2364 and 2369

1. What is the LCM of 2364 and 2369?

Answer: LCM of 2364 and 2369 is 5600316.

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 2369?

Answer: Factors of 2369 are 1, 23, 103, 2369. There are 4 integers that are factors of 2369. The greatest factor of 2369 is 2369.

4. How to Find the LCM of 2364 and 2369?

Answer:

Least Common Multiple of 2364 and 2369 = 5600316

Step 1: Find the prime factorization of 2364

2364 = 2 x 2 x 3 x 197

Step 2: Find the prime factorization of 2369

2369 = 23 x 103

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

LCM = 5600316 = 2 x 2 x 3 x 23 x 103 x 197

Step 4: Therefore, the least common multiple of 2364 and 2369 is 5600316.