Least Common Multiple of 2353 and 2358

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 2358 the smallest integer that is 5548374 that is divisible by both numbers.

Least Common Multiple (LCM) of 2353 and 2358 is 5548374.

LCM(2353,2358) = 5548374

LCM of 2353 and 2358

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

LCM of:
and

Least Common Multiple of 2353 and 2358

LCM of 2353 and 2358 is 5548374

Least common multiple can be found by multiplying the highest exponent prime factors of 2353 and 2358. First we will calculate the prime factors of 2353 and 2358.

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 2358


2 2358
3 1179
3 393
131 131
1

Prime factors of 2358 are 2, 3,131. Prime factorization of 2358 in exponential form is:

2358 = 21×32×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 2353 and 2358.

LCM(2353,2358) = 21×32×131×1311×1811
LCM(2353,2358) = 5548374

Factors of 2353

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

1, 13, 181, 2353

Factors of 2358

List of positive integer factors of 2358 that divides 2358 without a remainder.

1, 2, 3, 6, 9, 18, 131, 262, 393, 786, 1179, 2358

Least Common Multiple of 2353 and 2358 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 2358, than apply into the LCM equation.

GCF(2353,2358) = 1
LCM(2353,2358) = ( 2353 × 2358) / 1
LCM(2353,2358) = 5548374 / 1
LCM(2353,2358) = 5548374

Properties of LCM 2353 and 2358

(i) The LCM of 2358 and 2353 is associative

LCM of 2353 and 2358 = LCM of 2358 and 2353

Related Least Common Multiples of 2353

Related Least Common Multiples of 2358

Frequently Asked Questions on LCM of 2353 and 2358

1. What is the LCM of 2353 and 2358?

Answer: LCM of 2353 and 2358 is 5548374.

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 2358?

Answer: Factors of 2358 are 1, 2, 3, 6, 9, 18, 131, 262, 393, 786, 1179, 2358. There are 12 integers that are factors of 2358. The greatest factor of 2358 is 2358.

4. How to Find the LCM of 2353 and 2358?

Answer:

Least Common Multiple of 2353 and 2358 = 5548374

Step 1: Find the prime factorization of 2353

2353 = 13 x 181

Step 2: Find the prime factorization of 2358

2358 = 2 x 3 x 3 x 131

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

LCM = 5548374 = 2 x 3 x 3 x 13 x 131 x 181

Step 4: Therefore, the least common multiple of 2353 and 2358 is 5548374.