Least Common Multiple of 10311 and 10312

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 10312 the smallest integer that is 106327032 that is divisible by both numbers.

Least Common Multiple (LCM) of 10311 and 10312 is 106327032.

LCM(10311,10312) = 106327032

LCM of 10311 and 10312

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

LCM of:
and

Least Common Multiple of 10311 and 10312

LCM of 10311 and 10312 is 106327032

Least common multiple can be found by multiplying the highest exponent prime factors of 10311 and 10312. First we will calculate the prime factors of 10311 and 10312.

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 10312


2 10312
2 5156
2 2578
1289 1289
1

Prime factors of 10312 are 2,1289. Prime factorization of 10312 in exponential form is:

10312 = 23×12891

Now multiplying the highest exponent prime factors to calculate the LCM of 10311 and 10312.

LCM(10311,10312) = 23×31×71×4911×12891
LCM(10311,10312) = 106327032

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 10312

List of positive integer factors of 10312 that divides 10312 without a remainder.

1, 2, 4, 8, 1289, 2578, 5156, 10312

Least Common Multiple of 10311 and 10312 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 10312, than apply into the LCM equation.

GCF(10311,10312) = 1
LCM(10311,10312) = ( 10311 × 10312) / 1
LCM(10311,10312) = 106327032 / 1
LCM(10311,10312) = 106327032

Properties of LCM 10311 and 10312

(i) The LCM of 10312 and 10311 is associative

LCM of 10311 and 10312 = LCM of 10312 and 10311

Related Least Common Multiples of 10311

Related Least Common Multiples of 10312

Frequently Asked Questions on LCM of 10311 and 10312

1. What is the LCM of 10311 and 10312?

Answer: LCM of 10311 and 10312 is 106327032.

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 10312?

Answer: Factors of 10312 are 1, 2, 4, 8, 1289, 2578, 5156, 10312. There are 8 integers that are factors of 10312. The greatest factor of 10312 is 10312.

4. How to Find the LCM of 10311 and 10312?

Answer:

Least Common Multiple of 10311 and 10312 = 106327032

Step 1: Find the prime factorization of 10311

10311 = 3 x 7 x 491

Step 2: Find the prime factorization of 10312

10312 = 2 x 2 x 2 x 1289

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

LCM = 106327032 = 2 x 2 x 2 x 3 x 7 x 491 x 1289

Step 4: Therefore, the least common multiple of 10311 and 10312 is 106327032.