Least Common Multiple of 9600 and 9605

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 9605 the smallest integer that is 18441600 that is divisible by both numbers.

Least Common Multiple (LCM) of 9600 and 9605 is 18441600.

LCM(9600,9605) = 18441600

LCM of 9600 and 9605

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

LCM of:
and

Least Common Multiple of 9600 and 9605

LCM of 9600 and 9605 is 18441600

Least common multiple can be found by multiplying the highest exponent prime factors of 9600 and 9605. First we will calculate the prime factors of 9600 and 9605.

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 9605


5 9605
17 1921
113 113
1

Prime factors of 9605 are 5, 17,113. Prime factorization of 9605 in exponential form is:

9605 = 51×171×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 9600 and 9605.

LCM(9600,9605) = 27×31×52×171×1131
LCM(9600,9605) = 18441600

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 9605

List of positive integer factors of 9605 that divides 9605 without a remainder.

1, 5, 17, 85, 113, 565, 1921, 9605

Least Common Multiple of 9600 and 9605 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 9605, than apply into the LCM equation.

GCF(9600,9605) = 5
LCM(9600,9605) = ( 9600 × 9605) / 5
LCM(9600,9605) = 92208000 / 5
LCM(9600,9605) = 18441600

Properties of LCM 9600 and 9605

(i) The LCM of 9605 and 9600 is associative

LCM of 9600 and 9605 = LCM of 9605 and 9600

Related Least Common Multiples of 9600

Related Least Common Multiples of 9605

Frequently Asked Questions on LCM of 9600 and 9605

1. What is the LCM of 9600 and 9605?

Answer: LCM of 9600 and 9605 is 18441600.

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 9605?

Answer: Factors of 9605 are 1, 5, 17, 85, 113, 565, 1921, 9605. There are 8 integers that are factors of 9605. The greatest factor of 9605 is 9605.

4. How to Find the LCM of 9600 and 9605?

Answer:

Least Common Multiple of 9600 and 9605 = 18441600

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 9605

9605 = 5 x 17 x 113

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

LCM = 18441600 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 17 x 113

Step 4: Therefore, the least common multiple of 9600 and 9605 is 18441600.