Least Common Multiple of 1305 and 1311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1305 and 1311 the smallest integer that is 570285 that is divisible by both numbers.

Least Common Multiple (LCM) of 1305 and 1311 is 570285.

LCM(1305,1311) = 570285

LCM of 1305 and 1311

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

LCM of:
and

Least Common Multiple of 1305 and 1311

LCM of 1305 and 1311 is 570285

Least common multiple can be found by multiplying the highest exponent prime factors of 1305 and 1311. First we will calculate the prime factors of 1305 and 1311.

Prime Factorization of 1305


3 1305
3 435
5 145
29 29
1

Prime factors of 1305 are 3, 5,29. Prime factorization of 1305 in exponential form is:

1305 = 32×51×291

Prime Factorization of 1311


3 1311
19 437
23 23
1

Prime factors of 1311 are 3, 19,23. Prime factorization of 1311 in exponential form is:

1311 = 31×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1305 and 1311.

LCM(1305,1311) = 32×51×191×231×291
LCM(1305,1311) = 570285

Factors of 1305

List of positive integer factors of 1305 that divides 1305 without a remainder.

1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 1305

Factors of 1311

List of positive integer factors of 1311 that divides 1311 without a remainder.

1, 3, 19, 23, 57, 69, 437, 1311

Least Common Multiple of 1305 and 1311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1305 and 1311, than apply into the LCM equation.

GCF(1305,1311) = 3
LCM(1305,1311) = ( 1305 × 1311) / 3
LCM(1305,1311) = 1710855 / 3
LCM(1305,1311) = 570285

Properties of LCM 1305 and 1311

(i) The LCM of 1311 and 1305 is associative

LCM of 1305 and 1311 = LCM of 1311 and 1305

Related Least Common Multiples of 1305

Related Least Common Multiples of 1311

Frequently Asked Questions on LCM of 1305 and 1311

1. What is the LCM of 1305 and 1311?

Answer: LCM of 1305 and 1311 is 570285.

2. What are the Factors of 1305?

Answer: Factors of 1305 are 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 1305. There are 12 integers that are factors of 1305. The greatest factor of 1305 is 1305.

3. What are the Factors of 1311?

Answer: Factors of 1311 are 1, 3, 19, 23, 57, 69, 437, 1311. There are 8 integers that are factors of 1311. The greatest factor of 1311 is 1311.

4. How to Find the LCM of 1305 and 1311?

Answer:

Least Common Multiple of 1305 and 1311 = 570285

Step 1: Find the prime factorization of 1305

1305 = 3 x 3 x 5 x 29

Step 2: Find the prime factorization of 1311

1311 = 3 x 19 x 23

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

LCM = 570285 = 3 x 3 x 5 x 19 x 23 x 29

Step 4: Therefore, the least common multiple of 1305 and 1311 is 570285.