Least Common Multiple of 9360 and 9363

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 9363 the smallest integer that is 29212560 that is divisible by both numbers.

Least Common Multiple (LCM) of 9360 and 9363 is 29212560.

LCM(9360,9363) = 29212560

LCM of 9360 and 9363

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

LCM of:
and

Least Common Multiple of 9360 and 9363

LCM of 9360 and 9363 is 29212560

Least common multiple can be found by multiplying the highest exponent prime factors of 9360 and 9363. First we will calculate the prime factors of 9360 and 9363.

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 9363


3 9363
3121 3121
1

Prime factors of 9363 are 3,3121. Prime factorization of 9363 in exponential form is:

9363 = 31×31211

Now multiplying the highest exponent prime factors to calculate the LCM of 9360 and 9363.

LCM(9360,9363) = 24×32×51×131×31211
LCM(9360,9363) = 29212560

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 9363

List of positive integer factors of 9363 that divides 9363 without a remainder.

1, 3, 3121, 9363

Least Common Multiple of 9360 and 9363 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 9363, than apply into the LCM equation.

GCF(9360,9363) = 3
LCM(9360,9363) = ( 9360 × 9363) / 3
LCM(9360,9363) = 87637680 / 3
LCM(9360,9363) = 29212560

Properties of LCM 9360 and 9363

(i) The LCM of 9363 and 9360 is associative

LCM of 9360 and 9363 = LCM of 9363 and 9360

Related Least Common Multiples of 9360

Related Least Common Multiples of 9363

Frequently Asked Questions on LCM of 9360 and 9363

1. What is the LCM of 9360 and 9363?

Answer: LCM of 9360 and 9363 is 29212560.

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 9363?

Answer: Factors of 9363 are 1, 3, 3121, 9363. There are 4 integers that are factors of 9363. The greatest factor of 9363 is 9363.

4. How to Find the LCM of 9360 and 9363?

Answer:

Least Common Multiple of 9360 and 9363 = 29212560

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 9363

9363 = 3 x 3121

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

LCM = 29212560 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 3121

Step 4: Therefore, the least common multiple of 9360 and 9363 is 29212560.