Least Common Multiple of 9321 and 9322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9321 and 9322 the smallest integer that is 86890362 that is divisible by both numbers.

Least Common Multiple (LCM) of 9321 and 9322 is 86890362.

LCM(9321,9322) = 86890362

LCM of 9321 and 9322

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

LCM of:
and

Least Common Multiple of 9321 and 9322

LCM of 9321 and 9322 is 86890362

Least common multiple can be found by multiplying the highest exponent prime factors of 9321 and 9322. First we will calculate the prime factors of 9321 and 9322.

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

Prime Factorization of 9322


2 9322
59 4661
79 79
1

Prime factors of 9322 are 2, 59,79. Prime factorization of 9322 in exponential form is:

9322 = 21×591×791

Now multiplying the highest exponent prime factors to calculate the LCM of 9321 and 9322.

LCM(9321,9322) = 21×31×131×591×791×2391
LCM(9321,9322) = 86890362

Factors of 9321

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

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

Factors of 9322

List of positive integer factors of 9322 that divides 9322 without a remainder.

1, 2, 59, 79, 118, 158, 4661, 9322

Least Common Multiple of 9321 and 9322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9321 and 9322, than apply into the LCM equation.

GCF(9321,9322) = 1
LCM(9321,9322) = ( 9321 × 9322) / 1
LCM(9321,9322) = 86890362 / 1
LCM(9321,9322) = 86890362

Properties of LCM 9321 and 9322

(i) The LCM of 9322 and 9321 is associative

LCM of 9321 and 9322 = LCM of 9322 and 9321

Related Least Common Multiples of 9321

Related Least Common Multiples of 9322

Frequently Asked Questions on LCM of 9321 and 9322

1. What is the LCM of 9321 and 9322?

Answer: LCM of 9321 and 9322 is 86890362.

2. 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.

3. What are the Factors of 9322?

Answer: Factors of 9322 are 1, 2, 59, 79, 118, 158, 4661, 9322. There are 8 integers that are factors of 9322. The greatest factor of 9322 is 9322.

4. How to Find the LCM of 9321 and 9322?

Answer:

Least Common Multiple of 9321 and 9322 = 86890362

Step 1: Find the prime factorization of 9321

9321 = 3 x 13 x 239

Step 2: Find the prime factorization of 9322

9322 = 2 x 59 x 79

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

LCM = 86890362 = 2 x 3 x 13 x 59 x 79 x 239

Step 4: Therefore, the least common multiple of 9321 and 9322 is 86890362.