Least Common Multiple of 9360 and 9366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9360 and 9366 the smallest integer that is 14610960 that is divisible by both numbers.

Least Common Multiple (LCM) of 9360 and 9366 is 14610960.

LCM(9360,9366) = 14610960

LCM of 9360 and 9366

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

LCM of:
and

Least Common Multiple of 9360 and 9366

LCM of 9360 and 9366 is 14610960

Least common multiple can be found by multiplying the highest exponent prime factors of 9360 and 9366. First we will calculate the prime factors of 9360 and 9366.

Prime Factorization of 9360


2 9360
2 4680
2 2340
2 1170
3 585
3 195
5 65
13 13
1

Prime factors of 9360 are 2, 3, 5,13. Prime factorization of 9360 in exponential form is:

9360 = 24×32×51×131

Prime Factorization of 9366


2 9366
3 4683
7 1561
223 223
1

Prime factors of 9366 are 2, 3, 7,223. Prime factorization of 9366 in exponential form is:

9366 = 21×31×71×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 9360 and 9366.

LCM(9360,9366) = 24×32×51×71×131×2231
LCM(9360,9366) = 14610960

Factors of 9360

List of positive integer factors of 9360 that divides 9360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 30, 36, 39, 40, 45, 48, 52, 60, 65, 72, 78, 80, 90, 104, 117, 120, 130, 144, 156, 180, 195, 208, 234, 240, 260, 312, 360, 390, 468, 520, 585, 624, 720, 780, 936, 1040, 1170, 1560, 1872, 2340, 3120, 4680, 9360

Factors of 9366

List of positive integer factors of 9366 that divides 9366 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 223, 446, 669, 1338, 1561, 3122, 4683, 9366

Least Common Multiple of 9360 and 9366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9360 and 9366, than apply into the LCM equation.

GCF(9360,9366) = 6
LCM(9360,9366) = ( 9360 × 9366) / 6
LCM(9360,9366) = 87665760 / 6
LCM(9360,9366) = 14610960

Properties of LCM 9360 and 9366

(i) The LCM of 9366 and 9360 is associative

LCM of 9360 and 9366 = LCM of 9366 and 9360

Related Least Common Multiples of 9360

Related Least Common Multiples of 9366

Frequently Asked Questions on LCM of 9360 and 9366

1. What is the LCM of 9360 and 9366?

Answer: LCM of 9360 and 9366 is 14610960.

2. What are the Factors of 9360?

Answer: Factors of 9360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 30, 36, 39, 40, 45, 48, 52, 60, 65, 72, 78, 80, 90, 104, 117, 120, 130, 144, 156, 180, 195, 208, 234, 240, 260, 312, 360, 390, 468, 520, 585, 624, 720, 780, 936, 1040, 1170, 1560, 1872, 2340, 3120, 4680, 9360. There are 60 integers that are factors of 9360. The greatest factor of 9360 is 9360.

3. What are the Factors of 9366?

Answer: Factors of 9366 are 1, 2, 3, 6, 7, 14, 21, 42, 223, 446, 669, 1338, 1561, 3122, 4683, 9366. There are 16 integers that are factors of 9366. The greatest factor of 9366 is 9366.

4. How to Find the LCM of 9360 and 9366?

Answer:

Least Common Multiple of 9360 and 9366 = 14610960

Step 1: Find the prime factorization of 9360

9360 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13

Step 2: Find the prime factorization of 9366

9366 = 2 x 3 x 7 x 223

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

LCM = 14610960 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 223

Step 4: Therefore, the least common multiple of 9360 and 9366 is 14610960.