Least Common Multiple of 9360 and 9364

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 9364 the smallest integer that is 21911760 that is divisible by both numbers.

Least Common Multiple (LCM) of 9360 and 9364 is 21911760.

LCM(9360,9364) = 21911760

LCM of 9360 and 9364

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

LCM of:
and

Least Common Multiple of 9360 and 9364

LCM of 9360 and 9364 is 21911760

Least common multiple can be found by multiplying the highest exponent prime factors of 9360 and 9364. First we will calculate the prime factors of 9360 and 9364.

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 9364


2 9364
2 4682
2341 2341
1

Prime factors of 9364 are 2,2341. Prime factorization of 9364 in exponential form is:

9364 = 22×23411

Now multiplying the highest exponent prime factors to calculate the LCM of 9360 and 9364.

LCM(9360,9364) = 24×32×51×131×23411
LCM(9360,9364) = 21911760

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 9364

List of positive integer factors of 9364 that divides 9364 without a remainder.

1, 2, 4, 2341, 4682, 9364

Least Common Multiple of 9360 and 9364 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 9364, than apply into the LCM equation.

GCF(9360,9364) = 4
LCM(9360,9364) = ( 9360 × 9364) / 4
LCM(9360,9364) = 87647040 / 4
LCM(9360,9364) = 21911760

Properties of LCM 9360 and 9364

(i) The LCM of 9364 and 9360 is associative

LCM of 9360 and 9364 = LCM of 9364 and 9360

Related Least Common Multiples of 9360

Related Least Common Multiples of 9364

Frequently Asked Questions on LCM of 9360 and 9364

1. What is the LCM of 9360 and 9364?

Answer: LCM of 9360 and 9364 is 21911760.

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 9364?

Answer: Factors of 9364 are 1, 2, 4, 2341, 4682, 9364. There are 6 integers that are factors of 9364. The greatest factor of 9364 is 9364.

4. How to Find the LCM of 9360 and 9364?

Answer:

Least Common Multiple of 9360 and 9364 = 21911760

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 9364

9364 = 2 x 2 x 2341

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

LCM = 21911760 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 2341

Step 4: Therefore, the least common multiple of 9360 and 9364 is 21911760.