Least Common Multiple of 1365 and 1373

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 1373 the smallest integer that is 1874145 that is divisible by both numbers.

Least Common Multiple (LCM) of 1365 and 1373 is 1874145.

LCM(1365,1373) = 1874145

LCM of 1365 and 1373

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

LCM of:
and

Least Common Multiple of 1365 and 1373

LCM of 1365 and 1373 is 1874145

Least common multiple can be found by multiplying the highest exponent prime factors of 1365 and 1373. First we will calculate the prime factors of 1365 and 1373.

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 1373


1373 1373
1

Prime factors of 1373 are 1373. Prime factorization of 1373 in exponential form is:

1373 = 13731

Now multiplying the highest exponent prime factors to calculate the LCM of 1365 and 1373.

LCM(1365,1373) = 31×51×71×131×13731
LCM(1365,1373) = 1874145

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 1373

List of positive integer factors of 1373 that divides 1373 without a remainder.

1, 1373

Least Common Multiple of 1365 and 1373 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 1373, than apply into the LCM equation.

GCF(1365,1373) = 1
LCM(1365,1373) = ( 1365 × 1373) / 1
LCM(1365,1373) = 1874145 / 1
LCM(1365,1373) = 1874145

Properties of LCM 1365 and 1373

(i) The LCM of 1373 and 1365 is associative

LCM of 1365 and 1373 = LCM of 1373 and 1365

Related Least Common Multiples of 1365

Related Least Common Multiples of 1373

Frequently Asked Questions on LCM of 1365 and 1373

1. What is the LCM of 1365 and 1373?

Answer: LCM of 1365 and 1373 is 1874145.

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 1373?

Answer: Factors of 1373 are 1, 1373. There are 2 integers that are factors of 1373. The greatest factor of 1373 is 1373.

4. How to Find the LCM of 1365 and 1373?

Answer:

Least Common Multiple of 1365 and 1373 = 1874145

Step 1: Find the prime factorization of 1365

1365 = 3 x 5 x 7 x 13

Step 2: Find the prime factorization of 1373

1373 = 1373

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

LCM = 1874145 = 3 x 5 x 7 x 13 x 1373

Step 4: Therefore, the least common multiple of 1365 and 1373 is 1874145.