Least Common Multiple of 9360 and 9365

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 9365 the smallest integer that is 17531280 that is divisible by both numbers.

Least Common Multiple (LCM) of 9360 and 9365 is 17531280.

LCM(9360,9365) = 17531280

LCM of 9360 and 9365

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

LCM of:
and

Least Common Multiple of 9360 and 9365

LCM of 9360 and 9365 is 17531280

Least common multiple can be found by multiplying the highest exponent prime factors of 9360 and 9365. First we will calculate the prime factors of 9360 and 9365.

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 9365


5 9365
1873 1873
1

Prime factors of 9365 are 5,1873. Prime factorization of 9365 in exponential form is:

9365 = 51×18731

Now multiplying the highest exponent prime factors to calculate the LCM of 9360 and 9365.

LCM(9360,9365) = 24×32×51×131×18731
LCM(9360,9365) = 17531280

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 9365

List of positive integer factors of 9365 that divides 9365 without a remainder.

1, 5, 1873, 9365

Least Common Multiple of 9360 and 9365 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 9365, than apply into the LCM equation.

GCF(9360,9365) = 5
LCM(9360,9365) = ( 9360 × 9365) / 5
LCM(9360,9365) = 87656400 / 5
LCM(9360,9365) = 17531280

Properties of LCM 9360 and 9365

(i) The LCM of 9365 and 9360 is associative

LCM of 9360 and 9365 = LCM of 9365 and 9360

Related Least Common Multiples of 9360

Related Least Common Multiples of 9365

Frequently Asked Questions on LCM of 9360 and 9365

1. What is the LCM of 9360 and 9365?

Answer: LCM of 9360 and 9365 is 17531280.

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 9365?

Answer: Factors of 9365 are 1, 5, 1873, 9365. There are 4 integers that are factors of 9365. The greatest factor of 9365 is 9365.

4. How to Find the LCM of 9360 and 9365?

Answer:

Least Common Multiple of 9360 and 9365 = 17531280

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 9365

9365 = 5 x 1873

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

LCM = 17531280 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 1873

Step 4: Therefore, the least common multiple of 9360 and 9365 is 17531280.