Least Common Multiple of 9312 and 9319

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 9319 the smallest integer that is 86778528 that is divisible by both numbers.

Least Common Multiple (LCM) of 9312 and 9319 is 86778528.

LCM(9312,9319) = 86778528

LCM of 9312 and 9319

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

LCM of:
and

Least Common Multiple of 9312 and 9319

LCM of 9312 and 9319 is 86778528

Least common multiple can be found by multiplying the highest exponent prime factors of 9312 and 9319. First we will calculate the prime factors of 9312 and 9319.

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 9319


9319 9319
1

Prime factors of 9319 are 9319. Prime factorization of 9319 in exponential form is:

9319 = 93191

Now multiplying the highest exponent prime factors to calculate the LCM of 9312 and 9319.

LCM(9312,9319) = 25×31×971×93191
LCM(9312,9319) = 86778528

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 9319

List of positive integer factors of 9319 that divides 9319 without a remainder.

1, 9319

Least Common Multiple of 9312 and 9319 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 9319, than apply into the LCM equation.

GCF(9312,9319) = 1
LCM(9312,9319) = ( 9312 × 9319) / 1
LCM(9312,9319) = 86778528 / 1
LCM(9312,9319) = 86778528

Properties of LCM 9312 and 9319

(i) The LCM of 9319 and 9312 is associative

LCM of 9312 and 9319 = LCM of 9319 and 9312

Related Least Common Multiples of 9312

Related Least Common Multiples of 9319

Frequently Asked Questions on LCM of 9312 and 9319

1. What is the LCM of 9312 and 9319?

Answer: LCM of 9312 and 9319 is 86778528.

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 9319?

Answer: Factors of 9319 are 1, 9319. There are 2 integers that are factors of 9319. The greatest factor of 9319 is 9319.

4. How to Find the LCM of 9312 and 9319?

Answer:

Least Common Multiple of 9312 and 9319 = 86778528

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 9319

9319 = 9319

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

LCM = 86778528 = 2 x 2 x 2 x 2 x 2 x 3 x 97 x 9319

Step 4: Therefore, the least common multiple of 9312 and 9319 is 86778528.