Least Common Multiple of 10312 and 10319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10312 and 10319 the smallest integer that is 106409528 that is divisible by both numbers.

Least Common Multiple (LCM) of 10312 and 10319 is 106409528.

LCM(10312,10319) = 106409528

LCM of 10312 and 10319

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

LCM of:
and

Least Common Multiple of 10312 and 10319

LCM of 10312 and 10319 is 106409528

Least common multiple can be found by multiplying the highest exponent prime factors of 10312 and 10319. First we will calculate the prime factors of 10312 and 10319.

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

Prime Factorization of 10319


17 10319
607 607
1

Prime factors of 10319 are 17,607. Prime factorization of 10319 in exponential form is:

10319 = 171×6071

Now multiplying the highest exponent prime factors to calculate the LCM of 10312 and 10319.

LCM(10312,10319) = 23×171×6071×12891
LCM(10312,10319) = 106409528

Factors of 10312

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

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

Factors of 10319

List of positive integer factors of 10319 that divides 10319 without a remainder.

1, 17, 607, 10319

Least Common Multiple of 10312 and 10319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10312 and 10319, than apply into the LCM equation.

GCF(10312,10319) = 1
LCM(10312,10319) = ( 10312 × 10319) / 1
LCM(10312,10319) = 106409528 / 1
LCM(10312,10319) = 106409528

Properties of LCM 10312 and 10319

(i) The LCM of 10319 and 10312 is associative

LCM of 10312 and 10319 = LCM of 10319 and 10312

Related Least Common Multiples of 10312

Related Least Common Multiples of 10319

Frequently Asked Questions on LCM of 10312 and 10319

1. What is the LCM of 10312 and 10319?

Answer: LCM of 10312 and 10319 is 106409528.

2. 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.

3. What are the Factors of 10319?

Answer: Factors of 10319 are 1, 17, 607, 10319. There are 4 integers that are factors of 10319. The greatest factor of 10319 is 10319.

4. How to Find the LCM of 10312 and 10319?

Answer:

Least Common Multiple of 10312 and 10319 = 106409528

Step 1: Find the prime factorization of 10312

10312 = 2 x 2 x 2 x 1289

Step 2: Find the prime factorization of 10319

10319 = 17 x 607

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

LCM = 106409528 = 2 x 2 x 2 x 17 x 607 x 1289

Step 4: Therefore, the least common multiple of 10312 and 10319 is 106409528.