Least Common Multiple of 10308 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 10308 and 10312 the smallest integer that is 26574024 that is divisible by both numbers.

Least Common Multiple (LCM) of 10308 and 10312 is 26574024.

LCM(10308,10312) = 26574024

LCM of 10308 and 10312

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

LCM of:
and

Least Common Multiple of 10308 and 10312

LCM of 10308 and 10312 is 26574024

Least common multiple can be found by multiplying the highest exponent prime factors of 10308 and 10312. First we will calculate the prime factors of 10308 and 10312.

Prime Factorization of 10308


2 10308
2 5154
3 2577
859 859
1

Prime factors of 10308 are 2, 3,859. Prime factorization of 10308 in exponential form is:

10308 = 22×31×8591

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 10308 and 10312.

LCM(10308,10312) = 23×31×8591×12891
LCM(10308,10312) = 26574024

Factors of 10308

List of positive integer factors of 10308 that divides 10308 without a remainder.

1, 2, 3, 4, 6, 12, 859, 1718, 2577, 3436, 5154, 10308

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 10308 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 10308 and 10312, than apply into the LCM equation.

GCF(10308,10312) = 4
LCM(10308,10312) = ( 10308 × 10312) / 4
LCM(10308,10312) = 106296096 / 4
LCM(10308,10312) = 26574024

Properties of LCM 10308 and 10312

(i) The LCM of 10312 and 10308 is associative

LCM of 10308 and 10312 = LCM of 10312 and 10308

Related Least Common Multiples of 10308

Related Least Common Multiples of 10312

Frequently Asked Questions on LCM of 10308 and 10312

1. What is the LCM of 10308 and 10312?

Answer: LCM of 10308 and 10312 is 26574024.

2. What are the Factors of 10308?

Answer: Factors of 10308 are 1, 2, 3, 4, 6, 12, 859, 1718, 2577, 3436, 5154, 10308. There are 12 integers that are factors of 10308. The greatest factor of 10308 is 10308.

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 10308 and 10312?

Answer:

Least Common Multiple of 10308 and 10312 = 26574024

Step 1: Find the prime factorization of 10308

10308 = 2 x 2 x 3 x 859

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 = 26574024 = 2 x 2 x 2 x 3 x 859 x 1289

Step 4: Therefore, the least common multiple of 10308 and 10312 is 26574024.