Least Common Multiple of 13353 and 13358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13353 and 13358 the smallest integer that is 178369374 that is divisible by both numbers.

Least Common Multiple (LCM) of 13353 and 13358 is 178369374.

LCM(13353,13358) = 178369374

LCM of 13353 and 13358

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

LCM of:
and

Least Common Multiple of 13353 and 13358

LCM of 13353 and 13358 is 178369374

Least common multiple can be found by multiplying the highest exponent prime factors of 13353 and 13358. First we will calculate the prime factors of 13353 and 13358.

Prime Factorization of 13353


3 13353
4451 4451
1

Prime factors of 13353 are 3,4451. Prime factorization of 13353 in exponential form is:

13353 = 31×44511

Prime Factorization of 13358


2 13358
6679 6679
1

Prime factors of 13358 are 2,6679. Prime factorization of 13358 in exponential form is:

13358 = 21×66791

Now multiplying the highest exponent prime factors to calculate the LCM of 13353 and 13358.

LCM(13353,13358) = 21×31×44511×66791
LCM(13353,13358) = 178369374

Factors of 13353

List of positive integer factors of 13353 that divides 13353 without a remainder.

1, 3, 4451, 13353

Factors of 13358

List of positive integer factors of 13358 that divides 13358 without a remainder.

1, 2, 6679, 13358

Least Common Multiple of 13353 and 13358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13353 and 13358, than apply into the LCM equation.

GCF(13353,13358) = 1
LCM(13353,13358) = ( 13353 × 13358) / 1
LCM(13353,13358) = 178369374 / 1
LCM(13353,13358) = 178369374

Properties of LCM 13353 and 13358

(i) The LCM of 13358 and 13353 is associative

LCM of 13353 and 13358 = LCM of 13358 and 13353

Related Least Common Multiples of 13353

Related Least Common Multiples of 13358

Frequently Asked Questions on LCM of 13353 and 13358

1. What is the LCM of 13353 and 13358?

Answer: LCM of 13353 and 13358 is 178369374.

2. What are the Factors of 13353?

Answer: Factors of 13353 are 1, 3, 4451, 13353. There are 4 integers that are factors of 13353. The greatest factor of 13353 is 13353.

3. What are the Factors of 13358?

Answer: Factors of 13358 are 1, 2, 6679, 13358. There are 4 integers that are factors of 13358. The greatest factor of 13358 is 13358.

4. How to Find the LCM of 13353 and 13358?

Answer:

Least Common Multiple of 13353 and 13358 = 178369374

Step 1: Find the prime factorization of 13353

13353 = 3 x 4451

Step 2: Find the prime factorization of 13358

13358 = 2 x 6679

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

LCM = 178369374 = 2 x 3 x 4451 x 6679

Step 4: Therefore, the least common multiple of 13353 and 13358 is 178369374.