Least Common Multiple of 9316 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 9316 and 9322 the smallest integer that is 43421876 that is divisible by both numbers.

Least Common Multiple (LCM) of 9316 and 9322 is 43421876.

LCM(9316,9322) = 43421876

LCM of 9316 and 9322

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

LCM of:
and

Least Common Multiple of 9316 and 9322

LCM of 9316 and 9322 is 43421876

Least common multiple can be found by multiplying the highest exponent prime factors of 9316 and 9322. First we will calculate the prime factors of 9316 and 9322.

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 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 9316 and 9322.

LCM(9316,9322) = 22×171×591×791×1371
LCM(9316,9322) = 43421876

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 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 9316 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 9316 and 9322, than apply into the LCM equation.

GCF(9316,9322) = 2
LCM(9316,9322) = ( 9316 × 9322) / 2
LCM(9316,9322) = 86843752 / 2
LCM(9316,9322) = 43421876

Properties of LCM 9316 and 9322

(i) The LCM of 9322 and 9316 is associative

LCM of 9316 and 9322 = LCM of 9322 and 9316

Related Least Common Multiples of 9316

Related Least Common Multiples of 9322

Frequently Asked Questions on LCM of 9316 and 9322

1. What is the LCM of 9316 and 9322?

Answer: LCM of 9316 and 9322 is 43421876.

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 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 9316 and 9322?

Answer:

Least Common Multiple of 9316 and 9322 = 43421876

Step 1: Find the prime factorization of 9316

9316 = 2 x 2 x 17 x 137

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 = 43421876 = 2 x 2 x 17 x 59 x 79 x 137

Step 4: Therefore, the least common multiple of 9316 and 9322 is 43421876.