Least Common Multiple of 9312 and 9316

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 9316 the smallest integer that is 21687648 that is divisible by both numbers.

Least Common Multiple (LCM) of 9312 and 9316 is 21687648.

LCM(9312,9316) = 21687648

LCM of 9312 and 9316

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

LCM of:
and

Least Common Multiple of 9312 and 9316

LCM of 9312 and 9316 is 21687648

Least common multiple can be found by multiplying the highest exponent prime factors of 9312 and 9316. First we will calculate the prime factors of 9312 and 9316.

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 9316


2 9316
2 4658
17 2329
137 137
1

Prime factors of 9316 are 2, 17,137. Prime factorization of 9316 in exponential form is:

9316 = 22×171×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 9312 and 9316.

LCM(9312,9316) = 25×31×171×971×1371
LCM(9312,9316) = 21687648

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 9316

List of positive integer factors of 9316 that divides 9316 without a remainder.

1, 2, 4, 17, 34, 68, 137, 274, 548, 2329, 4658, 9316

Least Common Multiple of 9312 and 9316 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 9316, than apply into the LCM equation.

GCF(9312,9316) = 4
LCM(9312,9316) = ( 9312 × 9316) / 4
LCM(9312,9316) = 86750592 / 4
LCM(9312,9316) = 21687648

Properties of LCM 9312 and 9316

(i) The LCM of 9316 and 9312 is associative

LCM of 9312 and 9316 = LCM of 9316 and 9312

Related Least Common Multiples of 9312

Related Least Common Multiples of 9316

Frequently Asked Questions on LCM of 9312 and 9316

1. What is the LCM of 9312 and 9316?

Answer: LCM of 9312 and 9316 is 21687648.

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 9316?

Answer: Factors of 9316 are 1, 2, 4, 17, 34, 68, 137, 274, 548, 2329, 4658, 9316. There are 12 integers that are factors of 9316. The greatest factor of 9316 is 9316.

4. How to Find the LCM of 9312 and 9316?

Answer:

Least Common Multiple of 9312 and 9316 = 21687648

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 9316

9316 = 2 x 2 x 17 x 137

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

LCM = 21687648 = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 97 x 137

Step 4: Therefore, the least common multiple of 9312 and 9316 is 21687648.