Least Common Multiple of 10305 and 10311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10305 and 10311 the smallest integer that is 35418285 that is divisible by both numbers.

Least Common Multiple (LCM) of 10305 and 10311 is 35418285.

LCM(10305,10311) = 35418285

LCM of 10305 and 10311

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

LCM of:
and

Least Common Multiple of 10305 and 10311

LCM of 10305 and 10311 is 35418285

Least common multiple can be found by multiplying the highest exponent prime factors of 10305 and 10311. First we will calculate the prime factors of 10305 and 10311.

Prime Factorization of 10305


3 10305
3 3435
5 1145
229 229
1

Prime factors of 10305 are 3, 5,229. Prime factorization of 10305 in exponential form is:

10305 = 32×51×2291

Prime Factorization of 10311


3 10311
7 3437
491 491
1

Prime factors of 10311 are 3, 7,491. Prime factorization of 10311 in exponential form is:

10311 = 31×71×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 10305 and 10311.

LCM(10305,10311) = 32×51×71×2291×4911
LCM(10305,10311) = 35418285

Factors of 10305

List of positive integer factors of 10305 that divides 10305 without a remainder.

1, 3, 5, 9, 15, 45, 229, 687, 1145, 2061, 3435, 10305

Factors of 10311

List of positive integer factors of 10311 that divides 10311 without a remainder.

1, 3, 7, 21, 491, 1473, 3437, 10311

Least Common Multiple of 10305 and 10311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10305 and 10311, than apply into the LCM equation.

GCF(10305,10311) = 3
LCM(10305,10311) = ( 10305 × 10311) / 3
LCM(10305,10311) = 106254855 / 3
LCM(10305,10311) = 35418285

Properties of LCM 10305 and 10311

(i) The LCM of 10311 and 10305 is associative

LCM of 10305 and 10311 = LCM of 10311 and 10305

Related Least Common Multiples of 10305

Related Least Common Multiples of 10311

Frequently Asked Questions on LCM of 10305 and 10311

1. What is the LCM of 10305 and 10311?

Answer: LCM of 10305 and 10311 is 35418285.

2. What are the Factors of 10305?

Answer: Factors of 10305 are 1, 3, 5, 9, 15, 45, 229, 687, 1145, 2061, 3435, 10305. There are 12 integers that are factors of 10305. The greatest factor of 10305 is 10305.

3. What are the Factors of 10311?

Answer: Factors of 10311 are 1, 3, 7, 21, 491, 1473, 3437, 10311. There are 8 integers that are factors of 10311. The greatest factor of 10311 is 10311.

4. How to Find the LCM of 10305 and 10311?

Answer:

Least Common Multiple of 10305 and 10311 = 35418285

Step 1: Find the prime factorization of 10305

10305 = 3 x 3 x 5 x 229

Step 2: Find the prime factorization of 10311

10311 = 3 x 7 x 491

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

LCM = 35418285 = 3 x 3 x 5 x 7 x 229 x 491

Step 4: Therefore, the least common multiple of 10305 and 10311 is 35418285.