Least Common Multiple of 9312 and 9317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9312 and 9317 the smallest integer that is 86759904 that is divisible by both numbers.

Least Common Multiple (LCM) of 9312 and 9317 is 86759904.

LCM(9312,9317) = 86759904

LCM of 9312 and 9317

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

LCM of:
and

Least Common Multiple of 9312 and 9317

LCM of 9312 and 9317 is 86759904

Least common multiple can be found by multiplying the highest exponent prime factors of 9312 and 9317. First we will calculate the prime factors of 9312 and 9317.

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

Prime Factorization of 9317


7 9317
11 1331
11 121
11 11
1

Prime factors of 9317 are 7,11. Prime factorization of 9317 in exponential form is:

9317 = 71×113

Now multiplying the highest exponent prime factors to calculate the LCM of 9312 and 9317.

LCM(9312,9317) = 25×31×71×113×971
LCM(9312,9317) = 86759904

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

Factors of 9317

List of positive integer factors of 9317 that divides 9317 without a remainder.

1, 7, 11, 77, 121, 847, 1331, 9317

Least Common Multiple of 9312 and 9317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9312 and 9317, than apply into the LCM equation.

GCF(9312,9317) = 1
LCM(9312,9317) = ( 9312 × 9317) / 1
LCM(9312,9317) = 86759904 / 1
LCM(9312,9317) = 86759904

Properties of LCM 9312 and 9317

(i) The LCM of 9317 and 9312 is associative

LCM of 9312 and 9317 = LCM of 9317 and 9312

Related Least Common Multiples of 9312

Related Least Common Multiples of 9317

Frequently Asked Questions on LCM of 9312 and 9317

1. What is the LCM of 9312 and 9317?

Answer: LCM of 9312 and 9317 is 86759904.

2. 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.

3. What are the Factors of 9317?

Answer: Factors of 9317 are 1, 7, 11, 77, 121, 847, 1331, 9317. There are 8 integers that are factors of 9317. The greatest factor of 9317 is 9317.

4. How to Find the LCM of 9312 and 9317?

Answer:

Least Common Multiple of 9312 and 9317 = 86759904

Step 1: Find the prime factorization of 9312

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

Step 2: Find the prime factorization of 9317

9317 = 7 x 11 x 11 x 11

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

LCM = 86759904 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 11 x 11 x 97

Step 4: Therefore, the least common multiple of 9312 and 9317 is 86759904.