Least Common Multiple of 2357 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 2357 and 2363 the smallest integer that is 5569591 that is divisible by both numbers.

Least Common Multiple (LCM) of 2357 and 2363 is 5569591.

LCM(2357,2363) = 5569591

LCM of 2357 and 2363

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

LCM of:
and

Least Common Multiple of 2357 and 2363

LCM of 2357 and 2363 is 5569591

Least common multiple can be found by multiplying the highest exponent prime factors of 2357 and 2363. First we will calculate the prime factors of 2357 and 2363.

Prime Factorization of 2357


2357 2357
1

Prime factors of 2357 are 2357. Prime factorization of 2357 in exponential form is:

2357 = 23571

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 2357 and 2363.

LCM(2357,2363) = 171×1391×23571
LCM(2357,2363) = 5569591

Factors of 2357

List of positive integer factors of 2357 that divides 2357 without a remainder.

1, 2357

Factors of 2363

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

1, 17, 139, 2363

Least Common Multiple of 2357 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 2357 and 2363, than apply into the LCM equation.

GCF(2357,2363) = 1
LCM(2357,2363) = ( 2357 × 2363) / 1
LCM(2357,2363) = 5569591 / 1
LCM(2357,2363) = 5569591

Properties of LCM 2357 and 2363

(i) The LCM of 2363 and 2357 is associative

LCM of 2357 and 2363 = LCM of 2363 and 2357

Related Least Common Multiples of 2357

Related Least Common Multiples of 2363

Frequently Asked Questions on LCM of 2357 and 2363

1. What is the LCM of 2357 and 2363?

Answer: LCM of 2357 and 2363 is 5569591.

2. What are the Factors of 2357?

Answer: Factors of 2357 are 1, 2357. There are 2 integers that are factors of 2357. The greatest factor of 2357 is 2357.

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 2357 and 2363?

Answer:

Least Common Multiple of 2357 and 2363 = 5569591

Step 1: Find the prime factorization of 2357

2357 = 2357

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 = 5569591 = 17 x 139 x 2357

Step 4: Therefore, the least common multiple of 2357 and 2363 is 5569591.