Least Common Multiple of 9600 and 9606

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 9606 the smallest integer that is 15369600 that is divisible by both numbers.

Least Common Multiple (LCM) of 9600 and 9606 is 15369600.

LCM(9600,9606) = 15369600

LCM of 9600 and 9606

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

LCM of:
and

Least Common Multiple of 9600 and 9606

LCM of 9600 and 9606 is 15369600

Least common multiple can be found by multiplying the highest exponent prime factors of 9600 and 9606. First we will calculate the prime factors of 9600 and 9606.

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 9606


2 9606
3 4803
1601 1601
1

Prime factors of 9606 are 2, 3,1601. Prime factorization of 9606 in exponential form is:

9606 = 21×31×16011

Now multiplying the highest exponent prime factors to calculate the LCM of 9600 and 9606.

LCM(9600,9606) = 27×31×52×16011
LCM(9600,9606) = 15369600

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 9606

List of positive integer factors of 9606 that divides 9606 without a remainder.

1, 2, 3, 6, 1601, 3202, 4803, 9606

Least Common Multiple of 9600 and 9606 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 9606, than apply into the LCM equation.

GCF(9600,9606) = 6
LCM(9600,9606) = ( 9600 × 9606) / 6
LCM(9600,9606) = 92217600 / 6
LCM(9600,9606) = 15369600

Properties of LCM 9600 and 9606

(i) The LCM of 9606 and 9600 is associative

LCM of 9600 and 9606 = LCM of 9606 and 9600

Related Least Common Multiples of 9600

Related Least Common Multiples of 9606

Frequently Asked Questions on LCM of 9600 and 9606

1. What is the LCM of 9600 and 9606?

Answer: LCM of 9600 and 9606 is 15369600.

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 9606?

Answer: Factors of 9606 are 1, 2, 3, 6, 1601, 3202, 4803, 9606. There are 8 integers that are factors of 9606. The greatest factor of 9606 is 9606.

4. How to Find the LCM of 9600 and 9606?

Answer:

Least Common Multiple of 9600 and 9606 = 15369600

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 9606

9606 = 2 x 3 x 1601

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

LCM = 15369600 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 1601

Step 4: Therefore, the least common multiple of 9600 and 9606 is 15369600.