Least Common Multiple of 2359 and 2364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2359 and 2364 the smallest integer that is 5576676 that is divisible by both numbers.

Least Common Multiple (LCM) of 2359 and 2364 is 5576676.

LCM(2359,2364) = 5576676

LCM of 2359 and 2364

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

LCM of:
and

Least Common Multiple of 2359 and 2364

LCM of 2359 and 2364 is 5576676

Least common multiple can be found by multiplying the highest exponent prime factors of 2359 and 2364. First we will calculate the prime factors of 2359 and 2364.

Prime Factorization of 2359


7 2359
337 337
1

Prime factors of 2359 are 7,337. Prime factorization of 2359 in exponential form is:

2359 = 71×3371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2359 and 2364.

LCM(2359,2364) = 22×31×71×1971×3371
LCM(2359,2364) = 5576676

Factors of 2359

List of positive integer factors of 2359 that divides 2359 without a remainder.

1, 7, 337, 2359

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

Least Common Multiple of 2359 and 2364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2359 and 2364, than apply into the LCM equation.

GCF(2359,2364) = 1
LCM(2359,2364) = ( 2359 × 2364) / 1
LCM(2359,2364) = 5576676 / 1
LCM(2359,2364) = 5576676

Properties of LCM 2359 and 2364

(i) The LCM of 2364 and 2359 is associative

LCM of 2359 and 2364 = LCM of 2364 and 2359

Related Least Common Multiples of 2359

Related Least Common Multiples of 2364

Frequently Asked Questions on LCM of 2359 and 2364

1. What is the LCM of 2359 and 2364?

Answer: LCM of 2359 and 2364 is 5576676.

2. What are the Factors of 2359?

Answer: Factors of 2359 are 1, 7, 337, 2359. There are 4 integers that are factors of 2359. The greatest factor of 2359 is 2359.

3. 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.

4. How to Find the LCM of 2359 and 2364?

Answer:

Least Common Multiple of 2359 and 2364 = 5576676

Step 1: Find the prime factorization of 2359

2359 = 7 x 337

Step 2: Find the prime factorization of 2364

2364 = 2 x 2 x 3 x 197

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

LCM = 5576676 = 2 x 2 x 3 x 7 x 197 x 337

Step 4: Therefore, the least common multiple of 2359 and 2364 is 5576676.