Least Common Multiple of 9308 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 9308 and 9312 the smallest integer that is 21669024 that is divisible by both numbers.

Least Common Multiple (LCM) of 9308 and 9312 is 21669024.

LCM(9308,9312) = 21669024

LCM of 9308 and 9312

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

LCM of:
and

Least Common Multiple of 9308 and 9312

LCM of 9308 and 9312 is 21669024

Least common multiple can be found by multiplying the highest exponent prime factors of 9308 and 9312. First we will calculate the prime factors of 9308 and 9312.

Prime Factorization of 9308


2 9308
2 4654
13 2327
179 179
1

Prime factors of 9308 are 2, 13,179. Prime factorization of 9308 in exponential form is:

9308 = 22×131×1791

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 9308 and 9312.

LCM(9308,9312) = 25×31×131×971×1791
LCM(9308,9312) = 21669024

Factors of 9308

List of positive integer factors of 9308 that divides 9308 without a remainder.

1, 2, 4, 13, 26, 52, 179, 358, 716, 2327, 4654, 9308

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 9308 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 9308 and 9312, than apply into the LCM equation.

GCF(9308,9312) = 4
LCM(9308,9312) = ( 9308 × 9312) / 4
LCM(9308,9312) = 86676096 / 4
LCM(9308,9312) = 21669024

Properties of LCM 9308 and 9312

(i) The LCM of 9312 and 9308 is associative

LCM of 9308 and 9312 = LCM of 9312 and 9308

Related Least Common Multiples of 9308

Related Least Common Multiples of 9312

Frequently Asked Questions on LCM of 9308 and 9312

1. What is the LCM of 9308 and 9312?

Answer: LCM of 9308 and 9312 is 21669024.

2. What are the Factors of 9308?

Answer: Factors of 9308 are 1, 2, 4, 13, 26, 52, 179, 358, 716, 2327, 4654, 9308. There are 12 integers that are factors of 9308. The greatest factor of 9308 is 9308.

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 9308 and 9312?

Answer:

Least Common Multiple of 9308 and 9312 = 21669024

Step 1: Find the prime factorization of 9308

9308 = 2 x 2 x 13 x 179

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 = 21669024 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 97 x 179

Step 4: Therefore, the least common multiple of 9308 and 9312 is 21669024.