Least Common Multiple of 10311 and 10317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10311 and 10317 the smallest integer that is 35459529 that is divisible by both numbers.

Least Common Multiple (LCM) of 10311 and 10317 is 35459529.

LCM(10311,10317) = 35459529

LCM of 10311 and 10317

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

LCM of:
and

Least Common Multiple of 10311 and 10317

LCM of 10311 and 10317 is 35459529

Least common multiple can be found by multiplying the highest exponent prime factors of 10311 and 10317. First we will calculate the prime factors of 10311 and 10317.

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

Prime Factorization of 10317


3 10317
19 3439
181 181
1

Prime factors of 10317 are 3, 19,181. Prime factorization of 10317 in exponential form is:

10317 = 31×191×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 10311 and 10317.

LCM(10311,10317) = 31×71×191×1811×4911
LCM(10311,10317) = 35459529

Factors of 10311

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

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

Factors of 10317

List of positive integer factors of 10317 that divides 10317 without a remainder.

1, 3, 19, 57, 181, 543, 3439, 10317

Least Common Multiple of 10311 and 10317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10311 and 10317, than apply into the LCM equation.

GCF(10311,10317) = 3
LCM(10311,10317) = ( 10311 × 10317) / 3
LCM(10311,10317) = 106378587 / 3
LCM(10311,10317) = 35459529

Properties of LCM 10311 and 10317

(i) The LCM of 10317 and 10311 is associative

LCM of 10311 and 10317 = LCM of 10317 and 10311

Related Least Common Multiples of 10311

Related Least Common Multiples of 10317

Frequently Asked Questions on LCM of 10311 and 10317

1. What is the LCM of 10311 and 10317?

Answer: LCM of 10311 and 10317 is 35459529.

2. 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.

3. What are the Factors of 10317?

Answer: Factors of 10317 are 1, 3, 19, 57, 181, 543, 3439, 10317. There are 8 integers that are factors of 10317. The greatest factor of 10317 is 10317.

4. How to Find the LCM of 10311 and 10317?

Answer:

Least Common Multiple of 10311 and 10317 = 35459529

Step 1: Find the prime factorization of 10311

10311 = 3 x 7 x 491

Step 2: Find the prime factorization of 10317

10317 = 3 x 19 x 181

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

LCM = 35459529 = 3 x 7 x 19 x 181 x 491

Step 4: Therefore, the least common multiple of 10311 and 10317 is 35459529.