Least Common Multiple of 10304 and 10308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10304 and 10308 the smallest integer that is 26553408 that is divisible by both numbers.

Least Common Multiple (LCM) of 10304 and 10308 is 26553408.

LCM(10304,10308) = 26553408

LCM of 10304 and 10308

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

LCM of:
and

Least Common Multiple of 10304 and 10308

LCM of 10304 and 10308 is 26553408

Least common multiple can be found by multiplying the highest exponent prime factors of 10304 and 10308. First we will calculate the prime factors of 10304 and 10308.

Prime Factorization of 10304


2 10304
2 5152
2 2576
2 1288
2 644
2 322
7 161
23 23
1

Prime factors of 10304 are 2, 7,23. Prime factorization of 10304 in exponential form is:

10304 = 26×71×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10304 and 10308.

LCM(10304,10308) = 26×31×71×231×8591
LCM(10304,10308) = 26553408

Factors of 10304

List of positive integer factors of 10304 that divides 10304 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 64, 92, 112, 161, 184, 224, 322, 368, 448, 644, 736, 1288, 1472, 2576, 5152, 10304

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

Least Common Multiple of 10304 and 10308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10304 and 10308, than apply into the LCM equation.

GCF(10304,10308) = 4
LCM(10304,10308) = ( 10304 × 10308) / 4
LCM(10304,10308) = 106213632 / 4
LCM(10304,10308) = 26553408

Properties of LCM 10304 and 10308

(i) The LCM of 10308 and 10304 is associative

LCM of 10304 and 10308 = LCM of 10308 and 10304

Related Least Common Multiples of 10304

Related Least Common Multiples of 10308

Frequently Asked Questions on LCM of 10304 and 10308

1. What is the LCM of 10304 and 10308?

Answer: LCM of 10304 and 10308 is 26553408.

2. What are the Factors of 10304?

Answer: Factors of 10304 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 64, 92, 112, 161, 184, 224, 322, 368, 448, 644, 736, 1288, 1472, 2576, 5152, 10304. There are 28 integers that are factors of 10304. The greatest factor of 10304 is 10304.

3. 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.

4. How to Find the LCM of 10304 and 10308?

Answer:

Least Common Multiple of 10304 and 10308 = 26553408

Step 1: Find the prime factorization of 10304

10304 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 23

Step 2: Find the prime factorization of 10308

10308 = 2 x 2 x 3 x 859

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

LCM = 26553408 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 23 x 859

Step 4: Therefore, the least common multiple of 10304 and 10308 is 26553408.