Least Common Multiple of 9600 and 9608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9600 and 9608 the smallest integer that is 11529600 that is divisible by both numbers.

Least Common Multiple (LCM) of 9600 and 9608 is 11529600.

LCM(9600,9608) = 11529600

LCM of 9600 and 9608

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

LCM of:
and

Least Common Multiple of 9600 and 9608

LCM of 9600 and 9608 is 11529600

Least common multiple can be found by multiplying the highest exponent prime factors of 9600 and 9608. First we will calculate the prime factors of 9600 and 9608.

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

Prime Factorization of 9608


2 9608
2 4804
2 2402
1201 1201
1

Prime factors of 9608 are 2,1201. Prime factorization of 9608 in exponential form is:

9608 = 23×12011

Now multiplying the highest exponent prime factors to calculate the LCM of 9600 and 9608.

LCM(9600,9608) = 27×31×52×12011
LCM(9600,9608) = 11529600

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

Factors of 9608

List of positive integer factors of 9608 that divides 9608 without a remainder.

1, 2, 4, 8, 1201, 2402, 4804, 9608

Least Common Multiple of 9600 and 9608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9600 and 9608, than apply into the LCM equation.

GCF(9600,9608) = 8
LCM(9600,9608) = ( 9600 × 9608) / 8
LCM(9600,9608) = 92236800 / 8
LCM(9600,9608) = 11529600

Properties of LCM 9600 and 9608

(i) The LCM of 9608 and 9600 is associative

LCM of 9600 and 9608 = LCM of 9608 and 9600

Related Least Common Multiples of 9600

Related Least Common Multiples of 9608

Frequently Asked Questions on LCM of 9600 and 9608

1. What is the LCM of 9600 and 9608?

Answer: LCM of 9600 and 9608 is 11529600.

2. 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.

3. What are the Factors of 9608?

Answer: Factors of 9608 are 1, 2, 4, 8, 1201, 2402, 4804, 9608. There are 8 integers that are factors of 9608. The greatest factor of 9608 is 9608.

4. How to Find the LCM of 9600 and 9608?

Answer:

Least Common Multiple of 9600 and 9608 = 11529600

Step 1: 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 2: Find the prime factorization of 9608

9608 = 2 x 2 x 2 x 1201

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

LCM = 11529600 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 1201

Step 4: Therefore, the least common multiple of 9600 and 9608 is 11529600.