Least Common Multiple of 13365 and 13373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13365 and 13373 the smallest integer that is 178730145 that is divisible by both numbers.

Least Common Multiple (LCM) of 13365 and 13373 is 178730145.

LCM(13365,13373) = 178730145

LCM of 13365 and 13373

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

LCM of:
and

Least Common Multiple of 13365 and 13373

LCM of 13365 and 13373 is 178730145

Least common multiple can be found by multiplying the highest exponent prime factors of 13365 and 13373. First we will calculate the prime factors of 13365 and 13373.

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

Prime Factorization of 13373


43 13373
311 311
1

Prime factors of 13373 are 43,311. Prime factorization of 13373 in exponential form is:

13373 = 431×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 13365 and 13373.

LCM(13365,13373) = 35×51×111×431×3111
LCM(13365,13373) = 178730145

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

Factors of 13373

List of positive integer factors of 13373 that divides 13373 without a remainder.

1, 43, 311, 13373

Least Common Multiple of 13365 and 13373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13365 and 13373, than apply into the LCM equation.

GCF(13365,13373) = 1
LCM(13365,13373) = ( 13365 × 13373) / 1
LCM(13365,13373) = 178730145 / 1
LCM(13365,13373) = 178730145

Properties of LCM 13365 and 13373

(i) The LCM of 13373 and 13365 is associative

LCM of 13365 and 13373 = LCM of 13373 and 13365

Related Least Common Multiples of 13365

Related Least Common Multiples of 13373

Frequently Asked Questions on LCM of 13365 and 13373

1. What is the LCM of 13365 and 13373?

Answer: LCM of 13365 and 13373 is 178730145.

2. 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.

3. What are the Factors of 13373?

Answer: Factors of 13373 are 1, 43, 311, 13373. There are 4 integers that are factors of 13373. The greatest factor of 13373 is 13373.

4. How to Find the LCM of 13365 and 13373?

Answer:

Least Common Multiple of 13365 and 13373 = 178730145

Step 1: Find the prime factorization of 13365

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

Step 2: Find the prime factorization of 13373

13373 = 43 x 311

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

LCM = 178730145 = 3 x 3 x 3 x 3 x 3 x 5 x 11 x 43 x 311

Step 4: Therefore, the least common multiple of 13365 and 13373 is 178730145.