Least Common Multiple of 9309 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 9309 and 9316 the smallest integer that is 86722644 that is divisible by both numbers.

Least Common Multiple (LCM) of 9309 and 9316 is 86722644.

LCM(9309,9316) = 86722644

LCM of 9309 and 9316

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

LCM of:
and

Least Common Multiple of 9309 and 9316

LCM of 9309 and 9316 is 86722644

Least common multiple can be found by multiplying the highest exponent prime factors of 9309 and 9316. First we will calculate the prime factors of 9309 and 9316.

Prime Factorization of 9309


3 9309
29 3103
107 107
1

Prime factors of 9309 are 3, 29,107. Prime factorization of 9309 in exponential form is:

9309 = 31×291×1071

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 9309 and 9316.

LCM(9309,9316) = 22×31×171×291×1071×1371
LCM(9309,9316) = 86722644

Factors of 9309

List of positive integer factors of 9309 that divides 9309 without a remainder.

1, 3, 29, 87, 107, 321, 3103, 9309

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 9309 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 9309 and 9316, than apply into the LCM equation.

GCF(9309,9316) = 1
LCM(9309,9316) = ( 9309 × 9316) / 1
LCM(9309,9316) = 86722644 / 1
LCM(9309,9316) = 86722644

Properties of LCM 9309 and 9316

(i) The LCM of 9316 and 9309 is associative

LCM of 9309 and 9316 = LCM of 9316 and 9309

Related Least Common Multiples of 9309

Related Least Common Multiples of 9316

Frequently Asked Questions on LCM of 9309 and 9316

1. What is the LCM of 9309 and 9316?

Answer: LCM of 9309 and 9316 is 86722644.

2. What are the Factors of 9309?

Answer: Factors of 9309 are 1, 3, 29, 87, 107, 321, 3103, 9309. There are 8 integers that are factors of 9309. The greatest factor of 9309 is 9309.

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 9309 and 9316?

Answer:

Least Common Multiple of 9309 and 9316 = 86722644

Step 1: Find the prime factorization of 9309

9309 = 3 x 29 x 107

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 = 86722644 = 2 x 2 x 3 x 17 x 29 x 107 x 137

Step 4: Therefore, the least common multiple of 9309 and 9316 is 86722644.