Least Common Multiple of 2353 and 2359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2353 and 2359 the smallest integer that is 5550727 that is divisible by both numbers.

Least Common Multiple (LCM) of 2353 and 2359 is 5550727.

LCM(2353,2359) = 5550727

LCM of 2353 and 2359

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

LCM of:
and

Least Common Multiple of 2353 and 2359

LCM of 2353 and 2359 is 5550727

Least common multiple can be found by multiplying the highest exponent prime factors of 2353 and 2359. First we will calculate the prime factors of 2353 and 2359.

Prime Factorization of 2353


13 2353
181 181
1

Prime factors of 2353 are 13,181. Prime factorization of 2353 in exponential form is:

2353 = 131×1811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2353 and 2359.

LCM(2353,2359) = 71×131×1811×3371
LCM(2353,2359) = 5550727

Factors of 2353

List of positive integer factors of 2353 that divides 2353 without a remainder.

1, 13, 181, 2353

Factors of 2359

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

1, 7, 337, 2359

Least Common Multiple of 2353 and 2359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2353 and 2359, than apply into the LCM equation.

GCF(2353,2359) = 1
LCM(2353,2359) = ( 2353 × 2359) / 1
LCM(2353,2359) = 5550727 / 1
LCM(2353,2359) = 5550727

Properties of LCM 2353 and 2359

(i) The LCM of 2359 and 2353 is associative

LCM of 2353 and 2359 = LCM of 2359 and 2353

Related Least Common Multiples of 2353

Related Least Common Multiples of 2359

Frequently Asked Questions on LCM of 2353 and 2359

1. What is the LCM of 2353 and 2359?

Answer: LCM of 2353 and 2359 is 5550727.

2. What are the Factors of 2353?

Answer: Factors of 2353 are 1, 13, 181, 2353. There are 4 integers that are factors of 2353. The greatest factor of 2353 is 2353.

3. 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.

4. How to Find the LCM of 2353 and 2359?

Answer:

Least Common Multiple of 2353 and 2359 = 5550727

Step 1: Find the prime factorization of 2353

2353 = 13 x 181

Step 2: Find the prime factorization of 2359

2359 = 7 x 337

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

LCM = 5550727 = 7 x 13 x 181 x 337

Step 4: Therefore, the least common multiple of 2353 and 2359 is 5550727.