Least Common Multiple of 9593 and 9600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9593 and 9600 the smallest integer that is 92092800 that is divisible by both numbers.

Least Common Multiple (LCM) of 9593 and 9600 is 92092800.

LCM(9593,9600) = 92092800

LCM of 9593 and 9600

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

LCM of:
and

Least Common Multiple of 9593 and 9600

LCM of 9593 and 9600 is 92092800

Least common multiple can be found by multiplying the highest exponent prime factors of 9593 and 9600. First we will calculate the prime factors of 9593 and 9600.

Prime Factorization of 9593


53 9593
181 181
1

Prime factors of 9593 are 53,181. Prime factorization of 9593 in exponential form is:

9593 = 531×1811

Prime Factorization of 9600


2 9600
2 4800
2 2400
2 1200
2 600
2 300
2 150
3 75
5 25
5 5
1

Prime factors of 9600 are 2, 3,5. Prime factorization of 9600 in exponential form is:

9600 = 27×31×52

Now multiplying the highest exponent prime factors to calculate the LCM of 9593 and 9600.

LCM(9593,9600) = 27×31×52×531×1811
LCM(9593,9600) = 92092800

Factors of 9593

List of positive integer factors of 9593 that divides 9593 without a remainder.

1, 53, 181, 9593

Factors of 9600

List of positive integer factors of 9600 that divides 9600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600

Least Common Multiple of 9593 and 9600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9593 and 9600, than apply into the LCM equation.

GCF(9593,9600) = 1
LCM(9593,9600) = ( 9593 × 9600) / 1
LCM(9593,9600) = 92092800 / 1
LCM(9593,9600) = 92092800

Properties of LCM 9593 and 9600

(i) The LCM of 9600 and 9593 is associative

LCM of 9593 and 9600 = LCM of 9600 and 9593

Related Least Common Multiples of 9593

Related Least Common Multiples of 9600

Frequently Asked Questions on LCM of 9593 and 9600

1. What is the LCM of 9593 and 9600?

Answer: LCM of 9593 and 9600 is 92092800.

2. What are the Factors of 9593?

Answer: Factors of 9593 are 1, 53, 181, 9593. There are 4 integers that are factors of 9593. The greatest factor of 9593 is 9593.

3. What are the Factors of 9600?

Answer: Factors of 9600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600. There are 48 integers that are factors of 9600. The greatest factor of 9600 is 9600.

4. How to Find the LCM of 9593 and 9600?

Answer:

Least Common Multiple of 9593 and 9600 = 92092800

Step 1: Find the prime factorization of 9593

9593 = 53 x 181

Step 2: Find the prime factorization of 9600

9600 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5

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

LCM = 92092800 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 53 x 181

Step 4: Therefore, the least common multiple of 9593 and 9600 is 92092800.