Least Common Multiple of 9307 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 9307 and 9312 the smallest integer that is 86666784 that is divisible by both numbers.

Least Common Multiple (LCM) of 9307 and 9312 is 86666784.

LCM(9307,9312) = 86666784

LCM of 9307 and 9312

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

LCM of:
and

Least Common Multiple of 9307 and 9312

LCM of 9307 and 9312 is 86666784

Least common multiple can be found by multiplying the highest exponent prime factors of 9307 and 9312. First we will calculate the prime factors of 9307 and 9312.

Prime Factorization of 9307


41 9307
227 227
1

Prime factors of 9307 are 41,227. Prime factorization of 9307 in exponential form is:

9307 = 411×2271

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 9307 and 9312.

LCM(9307,9312) = 25×31×411×971×2271
LCM(9307,9312) = 86666784

Factors of 9307

List of positive integer factors of 9307 that divides 9307 without a remainder.

1, 41, 227, 9307

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 9307 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 9307 and 9312, than apply into the LCM equation.

GCF(9307,9312) = 1
LCM(9307,9312) = ( 9307 × 9312) / 1
LCM(9307,9312) = 86666784 / 1
LCM(9307,9312) = 86666784

Properties of LCM 9307 and 9312

(i) The LCM of 9312 and 9307 is associative

LCM of 9307 and 9312 = LCM of 9312 and 9307

Related Least Common Multiples of 9307

Related Least Common Multiples of 9312

Frequently Asked Questions on LCM of 9307 and 9312

1. What is the LCM of 9307 and 9312?

Answer: LCM of 9307 and 9312 is 86666784.

2. What are the Factors of 9307?

Answer: Factors of 9307 are 1, 41, 227, 9307. There are 4 integers that are factors of 9307. The greatest factor of 9307 is 9307.

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 9307 and 9312?

Answer:

Least Common Multiple of 9307 and 9312 = 86666784

Step 1: Find the prime factorization of 9307

9307 = 41 x 227

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 = 86666784 = 2 x 2 x 2 x 2 x 2 x 3 x 41 x 97 x 227

Step 4: Therefore, the least common multiple of 9307 and 9312 is 86666784.