Least Common Multiple of 2359 and 2363

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 2363 the smallest integer that is 5574317 that is divisible by both numbers.

Least Common Multiple (LCM) of 2359 and 2363 is 5574317.

LCM(2359,2363) = 5574317

LCM of 2359 and 2363

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

LCM of:
and

Least Common Multiple of 2359 and 2363

LCM of 2359 and 2363 is 5574317

Least common multiple can be found by multiplying the highest exponent prime factors of 2359 and 2363. First we will calculate the prime factors of 2359 and 2363.

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 2363


17 2363
139 139
1

Prime factors of 2363 are 17,139. Prime factorization of 2363 in exponential form is:

2363 = 171×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 2359 and 2363.

LCM(2359,2363) = 71×171×1391×3371
LCM(2359,2363) = 5574317

Factors of 2359

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

1, 7, 337, 2359

Factors of 2363

List of positive integer factors of 2363 that divides 2363 without a remainder.

1, 17, 139, 2363

Least Common Multiple of 2359 and 2363 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 2363, than apply into the LCM equation.

GCF(2359,2363) = 1
LCM(2359,2363) = ( 2359 × 2363) / 1
LCM(2359,2363) = 5574317 / 1
LCM(2359,2363) = 5574317

Properties of LCM 2359 and 2363

(i) The LCM of 2363 and 2359 is associative

LCM of 2359 and 2363 = LCM of 2363 and 2359

Related Least Common Multiples of 2359

Related Least Common Multiples of 2363

Frequently Asked Questions on LCM of 2359 and 2363

1. What is the LCM of 2359 and 2363?

Answer: LCM of 2359 and 2363 is 5574317.

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 2363?

Answer: Factors of 2363 are 1, 17, 139, 2363. There are 4 integers that are factors of 2363. The greatest factor of 2363 is 2363.

4. How to Find the LCM of 2359 and 2363?

Answer:

Least Common Multiple of 2359 and 2363 = 5574317

Step 1: Find the prime factorization of 2359

2359 = 7 x 337

Step 2: Find the prime factorization of 2363

2363 = 17 x 139

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

LCM = 5574317 = 7 x 17 x 139 x 337

Step 4: Therefore, the least common multiple of 2359 and 2363 is 5574317.