Least Common Multiple of 1365 and 1371

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 1371 the smallest integer that is 623805 that is divisible by both numbers.

Least Common Multiple (LCM) of 1365 and 1371 is 623805.

LCM(1365,1371) = 623805

LCM of 1365 and 1371

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

LCM of:
and

Least Common Multiple of 1365 and 1371

LCM of 1365 and 1371 is 623805

Least common multiple can be found by multiplying the highest exponent prime factors of 1365 and 1371. First we will calculate the prime factors of 1365 and 1371.

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 1371


3 1371
457 457
1

Prime factors of 1371 are 3,457. Prime factorization of 1371 in exponential form is:

1371 = 31×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 1365 and 1371.

LCM(1365,1371) = 31×51×71×131×4571
LCM(1365,1371) = 623805

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 1371

List of positive integer factors of 1371 that divides 1371 without a remainder.

1, 3, 457, 1371

Least Common Multiple of 1365 and 1371 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 1371, than apply into the LCM equation.

GCF(1365,1371) = 3
LCM(1365,1371) = ( 1365 × 1371) / 3
LCM(1365,1371) = 1871415 / 3
LCM(1365,1371) = 623805

Properties of LCM 1365 and 1371

(i) The LCM of 1371 and 1365 is associative

LCM of 1365 and 1371 = LCM of 1371 and 1365

Related Least Common Multiples of 1365

Related Least Common Multiples of 1371

Frequently Asked Questions on LCM of 1365 and 1371

1. What is the LCM of 1365 and 1371?

Answer: LCM of 1365 and 1371 is 623805.

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 1371?

Answer: Factors of 1371 are 1, 3, 457, 1371. There are 4 integers that are factors of 1371. The greatest factor of 1371 is 1371.

4. How to Find the LCM of 1365 and 1371?

Answer:

Least Common Multiple of 1365 and 1371 = 623805

Step 1: Find the prime factorization of 1365

1365 = 3 x 5 x 7 x 13

Step 2: Find the prime factorization of 1371

1371 = 3 x 457

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

LCM = 623805 = 3 x 5 x 7 x 13 x 457

Step 4: Therefore, the least common multiple of 1365 and 1371 is 623805.