Least Common Multiple of 9354 and 9360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9354 and 9360 the smallest integer that is 14592240 that is divisible by both numbers.

Least Common Multiple (LCM) of 9354 and 9360 is 14592240.

LCM(9354,9360) = 14592240

LCM of 9354 and 9360

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

LCM of:
and

Least Common Multiple of 9354 and 9360

LCM of 9354 and 9360 is 14592240

Least common multiple can be found by multiplying the highest exponent prime factors of 9354 and 9360. First we will calculate the prime factors of 9354 and 9360.

Prime Factorization of 9354


2 9354
3 4677
1559 1559
1

Prime factors of 9354 are 2, 3,1559. Prime factorization of 9354 in exponential form is:

9354 = 21×31×15591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9354 and 9360.

LCM(9354,9360) = 24×32×51×131×15591
LCM(9354,9360) = 14592240

Factors of 9354

List of positive integer factors of 9354 that divides 9354 without a remainder.

1, 2, 3, 6, 1559, 3118, 4677, 9354

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

Least Common Multiple of 9354 and 9360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9354 and 9360, than apply into the LCM equation.

GCF(9354,9360) = 6
LCM(9354,9360) = ( 9354 × 9360) / 6
LCM(9354,9360) = 87553440 / 6
LCM(9354,9360) = 14592240

Properties of LCM 9354 and 9360

(i) The LCM of 9360 and 9354 is associative

LCM of 9354 and 9360 = LCM of 9360 and 9354

Related Least Common Multiples of 9354

Related Least Common Multiples of 9360

Frequently Asked Questions on LCM of 9354 and 9360

1. What is the LCM of 9354 and 9360?

Answer: LCM of 9354 and 9360 is 14592240.

2. What are the Factors of 9354?

Answer: Factors of 9354 are 1, 2, 3, 6, 1559, 3118, 4677, 9354. There are 8 integers that are factors of 9354. The greatest factor of 9354 is 9354.

3. 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.

4. How to Find the LCM of 9354 and 9360?

Answer:

Least Common Multiple of 9354 and 9360 = 14592240

Step 1: Find the prime factorization of 9354

9354 = 2 x 3 x 1559

Step 2: Find the prime factorization of 9360

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

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

LCM = 14592240 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 1559

Step 4: Therefore, the least common multiple of 9354 and 9360 is 14592240.