Least Common Multiple of 1365 and 1369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1365 and 1369 the smallest integer that is 1868685 that is divisible by both numbers.

Least Common Multiple (LCM) of 1365 and 1369 is 1868685.

LCM(1365,1369) = 1868685

LCM of 1365 and 1369

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

LCM of:
and

Least Common Multiple of 1365 and 1369

LCM of 1365 and 1369 is 1868685

Least common multiple can be found by multiplying the highest exponent prime factors of 1365 and 1369. First we will calculate the prime factors of 1365 and 1369.

Prime Factorization of 1365


3 1365
5 455
7 91
13 13
1

Prime factors of 1365 are 3, 5, 7,13. Prime factorization of 1365 in exponential form is:

1365 = 31×51×71×131

Prime Factorization of 1369


37 1369
37 37
1

Prime factors of 1369 are 37. Prime factorization of 1369 in exponential form is:

1369 = 372

Now multiplying the highest exponent prime factors to calculate the LCM of 1365 and 1369.

LCM(1365,1369) = 31×51×71×131×372
LCM(1365,1369) = 1868685

Factors of 1365

List of positive integer factors of 1365 that divides 1365 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 91, 105, 195, 273, 455, 1365

Factors of 1369

List of positive integer factors of 1369 that divides 1369 without a remainder.

1, 37, 1369

Least Common Multiple of 1365 and 1369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1365 and 1369, than apply into the LCM equation.

GCF(1365,1369) = 1
LCM(1365,1369) = ( 1365 × 1369) / 1
LCM(1365,1369) = 1868685 / 1
LCM(1365,1369) = 1868685

Properties of LCM 1365 and 1369

(i) The LCM of 1369 and 1365 is associative

LCM of 1365 and 1369 = LCM of 1369 and 1365

Related Least Common Multiples of 1365

Related Least Common Multiples of 1369

Frequently Asked Questions on LCM of 1365 and 1369

1. What is the LCM of 1365 and 1369?

Answer: LCM of 1365 and 1369 is 1868685.

2. What are the Factors of 1365?

Answer: Factors of 1365 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 91, 105, 195, 273, 455, 1365. There are 16 integers that are factors of 1365. The greatest factor of 1365 is 1365.

3. What are the Factors of 1369?

Answer: Factors of 1369 are 1, 37, 1369. There are 3 integers that are factors of 1369. The greatest factor of 1369 is 1369.

4. How to Find the LCM of 1365 and 1369?

Answer:

Least Common Multiple of 1365 and 1369 = 1868685

Step 1: Find the prime factorization of 1365

1365 = 3 x 5 x 7 x 13

Step 2: Find the prime factorization of 1369

1369 = 37 x 37

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

LCM = 1868685 = 3 x 5 x 7 x 13 x 37 x 37

Step 4: Therefore, the least common multiple of 1365 and 1369 is 1868685.