Least Common Multiple of 9316 and 9321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9316 and 9321 the smallest integer that is 86834436 that is divisible by both numbers.

Least Common Multiple (LCM) of 9316 and 9321 is 86834436.

LCM(9316,9321) = 86834436

LCM of 9316 and 9321

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

LCM of:
and

Least Common Multiple of 9316 and 9321

LCM of 9316 and 9321 is 86834436

Least common multiple can be found by multiplying the highest exponent prime factors of 9316 and 9321. First we will calculate the prime factors of 9316 and 9321.

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

Prime Factorization of 9321


3 9321
13 3107
239 239
1

Prime factors of 9321 are 3, 13,239. Prime factorization of 9321 in exponential form is:

9321 = 31×131×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 9316 and 9321.

LCM(9316,9321) = 22×31×131×171×1371×2391
LCM(9316,9321) = 86834436

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

Factors of 9321

List of positive integer factors of 9321 that divides 9321 without a remainder.

1, 3, 13, 39, 239, 717, 3107, 9321

Least Common Multiple of 9316 and 9321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9316 and 9321, than apply into the LCM equation.

GCF(9316,9321) = 1
LCM(9316,9321) = ( 9316 × 9321) / 1
LCM(9316,9321) = 86834436 / 1
LCM(9316,9321) = 86834436

Properties of LCM 9316 and 9321

(i) The LCM of 9321 and 9316 is associative

LCM of 9316 and 9321 = LCM of 9321 and 9316

Related Least Common Multiples of 9316

Related Least Common Multiples of 9321

Frequently Asked Questions on LCM of 9316 and 9321

1. What is the LCM of 9316 and 9321?

Answer: LCM of 9316 and 9321 is 86834436.

2. 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.

3. What are the Factors of 9321?

Answer: Factors of 9321 are 1, 3, 13, 39, 239, 717, 3107, 9321. There are 8 integers that are factors of 9321. The greatest factor of 9321 is 9321.

4. How to Find the LCM of 9316 and 9321?

Answer:

Least Common Multiple of 9316 and 9321 = 86834436

Step 1: Find the prime factorization of 9316

9316 = 2 x 2 x 17 x 137

Step 2: Find the prime factorization of 9321

9321 = 3 x 13 x 239

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

LCM = 86834436 = 2 x 2 x 3 x 13 x 17 x 137 x 239

Step 4: Therefore, the least common multiple of 9316 and 9321 is 86834436.