Least Common Multiple of 9304 and 9312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9304 and 9312 the smallest integer that is 10829856 that is divisible by both numbers.

Least Common Multiple (LCM) of 9304 and 9312 is 10829856.

LCM(9304,9312) = 10829856

LCM of 9304 and 9312

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

LCM of:
and

Least Common Multiple of 9304 and 9312

LCM of 9304 and 9312 is 10829856

Least common multiple can be found by multiplying the highest exponent prime factors of 9304 and 9312. First we will calculate the prime factors of 9304 and 9312.

Prime Factorization of 9304


2 9304
2 4652
2 2326
1163 1163
1

Prime factors of 9304 are 2,1163. Prime factorization of 9304 in exponential form is:

9304 = 23×11631

Prime Factorization of 9312


2 9312
2 4656
2 2328
2 1164
2 582
3 291
97 97
1

Prime factors of 9312 are 2, 3,97. Prime factorization of 9312 in exponential form is:

9312 = 25×31×971

Now multiplying the highest exponent prime factors to calculate the LCM of 9304 and 9312.

LCM(9304,9312) = 25×31×971×11631
LCM(9304,9312) = 10829856

Factors of 9304

List of positive integer factors of 9304 that divides 9304 without a remainder.

1, 2, 4, 8, 1163, 2326, 4652, 9304

Factors of 9312

List of positive integer factors of 9312 that divides 9312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 3104, 4656, 9312

Least Common Multiple of 9304 and 9312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9304 and 9312, than apply into the LCM equation.

GCF(9304,9312) = 8
LCM(9304,9312) = ( 9304 × 9312) / 8
LCM(9304,9312) = 86638848 / 8
LCM(9304,9312) = 10829856

Properties of LCM 9304 and 9312

(i) The LCM of 9312 and 9304 is associative

LCM of 9304 and 9312 = LCM of 9312 and 9304

Related Least Common Multiples of 9304

Related Least Common Multiples of 9312

Frequently Asked Questions on LCM of 9304 and 9312

1. What is the LCM of 9304 and 9312?

Answer: LCM of 9304 and 9312 is 10829856.

2. What are the Factors of 9304?

Answer: Factors of 9304 are 1, 2, 4, 8, 1163, 2326, 4652, 9304. There are 8 integers that are factors of 9304. The greatest factor of 9304 is 9304.

3. What are the Factors of 9312?

Answer: Factors of 9312 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 3104, 4656, 9312. There are 24 integers that are factors of 9312. The greatest factor of 9312 is 9312.

4. How to Find the LCM of 9304 and 9312?

Answer:

Least Common Multiple of 9304 and 9312 = 10829856

Step 1: Find the prime factorization of 9304

9304 = 2 x 2 x 2 x 1163

Step 2: Find the prime factorization of 9312

9312 = 2 x 2 x 2 x 2 x 2 x 3 x 97

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

LCM = 10829856 = 2 x 2 x 2 x 2 x 2 x 3 x 97 x 1163

Step 4: Therefore, the least common multiple of 9304 and 9312 is 10829856.