Least Common Multiple of 1365 and 1366

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 1366 the smallest integer that is 1864590 that is divisible by both numbers.

Least Common Multiple (LCM) of 1365 and 1366 is 1864590.

LCM(1365,1366) = 1864590

LCM of 1365 and 1366

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

LCM of:
and

Least Common Multiple of 1365 and 1366

LCM of 1365 and 1366 is 1864590

Least common multiple can be found by multiplying the highest exponent prime factors of 1365 and 1366. First we will calculate the prime factors of 1365 and 1366.

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 1366


2 1366
683 683
1

Prime factors of 1366 are 2,683. Prime factorization of 1366 in exponential form is:

1366 = 21×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 1365 and 1366.

LCM(1365,1366) = 21×31×51×71×131×6831
LCM(1365,1366) = 1864590

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 1366

List of positive integer factors of 1366 that divides 1366 without a remainder.

1, 2, 683, 1366

Least Common Multiple of 1365 and 1366 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 1366, than apply into the LCM equation.

GCF(1365,1366) = 1
LCM(1365,1366) = ( 1365 × 1366) / 1
LCM(1365,1366) = 1864590 / 1
LCM(1365,1366) = 1864590

Properties of LCM 1365 and 1366

(i) The LCM of 1366 and 1365 is associative

LCM of 1365 and 1366 = LCM of 1366 and 1365

Related Least Common Multiples of 1365

Related Least Common Multiples of 1366

Frequently Asked Questions on LCM of 1365 and 1366

1. What is the LCM of 1365 and 1366?

Answer: LCM of 1365 and 1366 is 1864590.

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 1366?

Answer: Factors of 1366 are 1, 2, 683, 1366. There are 4 integers that are factors of 1366. The greatest factor of 1366 is 1366.

4. How to Find the LCM of 1365 and 1366?

Answer:

Least Common Multiple of 1365 and 1366 = 1864590

Step 1: Find the prime factorization of 1365

1365 = 3 x 5 x 7 x 13

Step 2: Find the prime factorization of 1366

1366 = 2 x 683

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

LCM = 1864590 = 2 x 3 x 5 x 7 x 13 x 683

Step 4: Therefore, the least common multiple of 1365 and 1366 is 1864590.