Least Common Multiple of 9316 and 9320

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 9320 the smallest integer that is 21706280 that is divisible by both numbers.

Least Common Multiple (LCM) of 9316 and 9320 is 21706280.

LCM(9316,9320) = 21706280

LCM of 9316 and 9320

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

LCM of:
and

Least Common Multiple of 9316 and 9320

LCM of 9316 and 9320 is 21706280

Least common multiple can be found by multiplying the highest exponent prime factors of 9316 and 9320. First we will calculate the prime factors of 9316 and 9320.

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 9320


2 9320
2 4660
2 2330
5 1165
233 233
1

Prime factors of 9320 are 2, 5,233. Prime factorization of 9320 in exponential form is:

9320 = 23×51×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 9316 and 9320.

LCM(9316,9320) = 23×51×171×1371×2331
LCM(9316,9320) = 21706280

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 9320

List of positive integer factors of 9320 that divides 9320 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 233, 466, 932, 1165, 1864, 2330, 4660, 9320

Least Common Multiple of 9316 and 9320 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 9320, than apply into the LCM equation.

GCF(9316,9320) = 4
LCM(9316,9320) = ( 9316 × 9320) / 4
LCM(9316,9320) = 86825120 / 4
LCM(9316,9320) = 21706280

Properties of LCM 9316 and 9320

(i) The LCM of 9320 and 9316 is associative

LCM of 9316 and 9320 = LCM of 9320 and 9316

Related Least Common Multiples of 9316

Related Least Common Multiples of 9320

Frequently Asked Questions on LCM of 9316 and 9320

1. What is the LCM of 9316 and 9320?

Answer: LCM of 9316 and 9320 is 21706280.

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 9320?

Answer: Factors of 9320 are 1, 2, 4, 5, 8, 10, 20, 40, 233, 466, 932, 1165, 1864, 2330, 4660, 9320. There are 16 integers that are factors of 9320. The greatest factor of 9320 is 9320.

4. How to Find the LCM of 9316 and 9320?

Answer:

Least Common Multiple of 9316 and 9320 = 21706280

Step 1: Find the prime factorization of 9316

9316 = 2 x 2 x 17 x 137

Step 2: Find the prime factorization of 9320

9320 = 2 x 2 x 2 x 5 x 233

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

LCM = 21706280 = 2 x 2 x 2 x 5 x 17 x 137 x 233

Step 4: Therefore, the least common multiple of 9316 and 9320 is 21706280.