Least Common Multiple of 13365 and 13369

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 13369 the smallest integer that is 178676685 that is divisible by both numbers.

Least Common Multiple (LCM) of 13365 and 13369 is 178676685.

LCM(13365,13369) = 178676685

LCM of 13365 and 13369

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

LCM of:
and

Least Common Multiple of 13365 and 13369

LCM of 13365 and 13369 is 178676685

Least common multiple can be found by multiplying the highest exponent prime factors of 13365 and 13369. First we will calculate the prime factors of 13365 and 13369.

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 13369


29 13369
461 461
1

Prime factors of 13369 are 29,461. Prime factorization of 13369 in exponential form is:

13369 = 291×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 13365 and 13369.

LCM(13365,13369) = 35×51×111×291×4611
LCM(13365,13369) = 178676685

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 13369

List of positive integer factors of 13369 that divides 13369 without a remainder.

1, 29, 461, 13369

Least Common Multiple of 13365 and 13369 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 13369, than apply into the LCM equation.

GCF(13365,13369) = 1
LCM(13365,13369) = ( 13365 × 13369) / 1
LCM(13365,13369) = 178676685 / 1
LCM(13365,13369) = 178676685

Properties of LCM 13365 and 13369

(i) The LCM of 13369 and 13365 is associative

LCM of 13365 and 13369 = LCM of 13369 and 13365

Related Least Common Multiples of 13365

Related Least Common Multiples of 13369

Frequently Asked Questions on LCM of 13365 and 13369

1. What is the LCM of 13365 and 13369?

Answer: LCM of 13365 and 13369 is 178676685.

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 13369?

Answer: Factors of 13369 are 1, 29, 461, 13369. There are 4 integers that are factors of 13369. The greatest factor of 13369 is 13369.

4. How to Find the LCM of 13365 and 13369?

Answer:

Least Common Multiple of 13365 and 13369 = 178676685

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 13369

13369 = 29 x 461

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

LCM = 178676685 = 3 x 3 x 3 x 3 x 3 x 5 x 11 x 29 x 461

Step 4: Therefore, the least common multiple of 13365 and 13369 is 178676685.