Least Common Multiple of 9360 and 9368

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 9368 the smallest integer that is 10960560 that is divisible by both numbers.

Least Common Multiple (LCM) of 9360 and 9368 is 10960560.

LCM(9360,9368) = 10960560

LCM of 9360 and 9368

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

LCM of:
and

Least Common Multiple of 9360 and 9368

LCM of 9360 and 9368 is 10960560

Least common multiple can be found by multiplying the highest exponent prime factors of 9360 and 9368. First we will calculate the prime factors of 9360 and 9368.

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 9368


2 9368
2 4684
2 2342
1171 1171
1

Prime factors of 9368 are 2,1171. Prime factorization of 9368 in exponential form is:

9368 = 23×11711

Now multiplying the highest exponent prime factors to calculate the LCM of 9360 and 9368.

LCM(9360,9368) = 24×32×51×131×11711
LCM(9360,9368) = 10960560

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 9368

List of positive integer factors of 9368 that divides 9368 without a remainder.

1, 2, 4, 8, 1171, 2342, 4684, 9368

Least Common Multiple of 9360 and 9368 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 9368, than apply into the LCM equation.

GCF(9360,9368) = 8
LCM(9360,9368) = ( 9360 × 9368) / 8
LCM(9360,9368) = 87684480 / 8
LCM(9360,9368) = 10960560

Properties of LCM 9360 and 9368

(i) The LCM of 9368 and 9360 is associative

LCM of 9360 and 9368 = LCM of 9368 and 9360

Related Least Common Multiples of 9360

Related Least Common Multiples of 9368

Frequently Asked Questions on LCM of 9360 and 9368

1. What is the LCM of 9360 and 9368?

Answer: LCM of 9360 and 9368 is 10960560.

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 9368?

Answer: Factors of 9368 are 1, 2, 4, 8, 1171, 2342, 4684, 9368. There are 8 integers that are factors of 9368. The greatest factor of 9368 is 9368.

4. How to Find the LCM of 9360 and 9368?

Answer:

Least Common Multiple of 9360 and 9368 = 10960560

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 9368

9368 = 2 x 2 x 2 x 1171

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

LCM = 10960560 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 1171

Step 4: Therefore, the least common multiple of 9360 and 9368 is 10960560.