Least Common Multiple of 1361 and 1365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1361 and 1365 the smallest integer that is 1857765 that is divisible by both numbers.

Least Common Multiple (LCM) of 1361 and 1365 is 1857765.

LCM(1361,1365) = 1857765

LCM of 1361 and 1365

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

LCM of:
and

Least Common Multiple of 1361 and 1365

LCM of 1361 and 1365 is 1857765

Least common multiple can be found by multiplying the highest exponent prime factors of 1361 and 1365. First we will calculate the prime factors of 1361 and 1365.

Prime Factorization of 1361


1361 1361
1

Prime factors of 1361 are 1361. Prime factorization of 1361 in exponential form is:

1361 = 13611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1361 and 1365.

LCM(1361,1365) = 31×51×71×131×13611
LCM(1361,1365) = 1857765

Factors of 1361

List of positive integer factors of 1361 that divides 1361 without a remainder.

1, 1361

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

Least Common Multiple of 1361 and 1365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1361 and 1365, than apply into the LCM equation.

GCF(1361,1365) = 1
LCM(1361,1365) = ( 1361 × 1365) / 1
LCM(1361,1365) = 1857765 / 1
LCM(1361,1365) = 1857765

Properties of LCM 1361 and 1365

(i) The LCM of 1365 and 1361 is associative

LCM of 1361 and 1365 = LCM of 1365 and 1361

Related Least Common Multiples of 1361

Related Least Common Multiples of 1365

Frequently Asked Questions on LCM of 1361 and 1365

1. What is the LCM of 1361 and 1365?

Answer: LCM of 1361 and 1365 is 1857765.

2. What are the Factors of 1361?

Answer: Factors of 1361 are 1, 1361. There are 2 integers that are factors of 1361. The greatest factor of 1361 is 1361.

3. 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.

4. How to Find the LCM of 1361 and 1365?

Answer:

Least Common Multiple of 1361 and 1365 = 1857765

Step 1: Find the prime factorization of 1361

1361 = 1361

Step 2: Find the prime factorization of 1365

1365 = 3 x 5 x 7 x 13

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

LCM = 1857765 = 3 x 5 x 7 x 13 x 1361

Step 4: Therefore, the least common multiple of 1361 and 1365 is 1857765.