Least Common Multiple of 13358 and 13365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13358 and 13365 the smallest integer that is 178529670 that is divisible by both numbers.

Least Common Multiple (LCM) of 13358 and 13365 is 178529670.

LCM(13358,13365) = 178529670

LCM of 13358 and 13365

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

LCM of:
and

Least Common Multiple of 13358 and 13365

LCM of 13358 and 13365 is 178529670

Least common multiple can be found by multiplying the highest exponent prime factors of 13358 and 13365. First we will calculate the prime factors of 13358 and 13365.

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

Prime Factorization of 13365


3 13365
3 4455
3 1485
3 495
3 165
5 55
11 11
1

Prime factors of 13365 are 3, 5,11. Prime factorization of 13365 in exponential form is:

13365 = 35×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 13358 and 13365.

LCM(13358,13365) = 21×35×51×111×66791
LCM(13358,13365) = 178529670

Factors of 13358

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

1, 2, 6679, 13358

Factors of 13365

List of positive integer factors of 13365 that divides 13365 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 81, 99, 135, 165, 243, 297, 405, 495, 891, 1215, 1485, 2673, 4455, 13365

Least Common Multiple of 13358 and 13365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13358 and 13365, than apply into the LCM equation.

GCF(13358,13365) = 1
LCM(13358,13365) = ( 13358 × 13365) / 1
LCM(13358,13365) = 178529670 / 1
LCM(13358,13365) = 178529670

Properties of LCM 13358 and 13365

(i) The LCM of 13365 and 13358 is associative

LCM of 13358 and 13365 = LCM of 13365 and 13358

Related Least Common Multiples of 13358

Related Least Common Multiples of 13365

Frequently Asked Questions on LCM of 13358 and 13365

1. What is the LCM of 13358 and 13365?

Answer: LCM of 13358 and 13365 is 178529670.

2. 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.

3. What are the Factors of 13365?

Answer: Factors of 13365 are 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 81, 99, 135, 165, 243, 297, 405, 495, 891, 1215, 1485, 2673, 4455, 13365. There are 24 integers that are factors of 13365. The greatest factor of 13365 is 13365.

4. How to Find the LCM of 13358 and 13365?

Answer:

Least Common Multiple of 13358 and 13365 = 178529670

Step 1: Find the prime factorization of 13358

13358 = 2 x 6679

Step 2: Find the prime factorization of 13365

13365 = 3 x 3 x 3 x 3 x 3 x 5 x 11

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

LCM = 178529670 = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 11 x 6679

Step 4: Therefore, the least common multiple of 13358 and 13365 is 178529670.