Least Common Multiple of 10312 and 10316

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 10316 the smallest integer that is 26594648 that is divisible by both numbers.

Least Common Multiple (LCM) of 10312 and 10316 is 26594648.

LCM(10312,10316) = 26594648

LCM of 10312 and 10316

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

LCM of:
and

Least Common Multiple of 10312 and 10316

LCM of 10312 and 10316 is 26594648

Least common multiple can be found by multiplying the highest exponent prime factors of 10312 and 10316. First we will calculate the prime factors of 10312 and 10316.

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 10316


2 10316
2 5158
2579 2579
1

Prime factors of 10316 are 2,2579. Prime factorization of 10316 in exponential form is:

10316 = 22×25791

Now multiplying the highest exponent prime factors to calculate the LCM of 10312 and 10316.

LCM(10312,10316) = 23×12891×25791
LCM(10312,10316) = 26594648

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 10316

List of positive integer factors of 10316 that divides 10316 without a remainder.

1, 2, 4, 2579, 5158, 10316

Least Common Multiple of 10312 and 10316 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 10316, than apply into the LCM equation.

GCF(10312,10316) = 4
LCM(10312,10316) = ( 10312 × 10316) / 4
LCM(10312,10316) = 106378592 / 4
LCM(10312,10316) = 26594648

Properties of LCM 10312 and 10316

(i) The LCM of 10316 and 10312 is associative

LCM of 10312 and 10316 = LCM of 10316 and 10312

Related Least Common Multiples of 10312

Related Least Common Multiples of 10316

Frequently Asked Questions on LCM of 10312 and 10316

1. What is the LCM of 10312 and 10316?

Answer: LCM of 10312 and 10316 is 26594648.

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 10316?

Answer: Factors of 10316 are 1, 2, 4, 2579, 5158, 10316. There are 6 integers that are factors of 10316. The greatest factor of 10316 is 10316.

4. How to Find the LCM of 10312 and 10316?

Answer:

Least Common Multiple of 10312 and 10316 = 26594648

Step 1: Find the prime factorization of 10312

10312 = 2 x 2 x 2 x 1289

Step 2: Find the prime factorization of 10316

10316 = 2 x 2 x 2579

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

LCM = 26594648 = 2 x 2 x 2 x 1289 x 2579

Step 4: Therefore, the least common multiple of 10312 and 10316 is 26594648.