Least Common Multiple of 9596 and 9604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9596 and 9604 the smallest integer that is 23039996 that is divisible by both numbers.

Least Common Multiple (LCM) of 9596 and 9604 is 23039996.

LCM(9596,9604) = 23039996

LCM of 9596 and 9604

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

LCM of:
and

Least Common Multiple of 9596 and 9604

LCM of 9596 and 9604 is 23039996

Least common multiple can be found by multiplying the highest exponent prime factors of 9596 and 9604. First we will calculate the prime factors of 9596 and 9604.

Prime Factorization of 9596


2 9596
2 4798
2399 2399
1

Prime factors of 9596 are 2,2399. Prime factorization of 9596 in exponential form is:

9596 = 22×23991

Prime Factorization of 9604


2 9604
2 4802
7 2401
7 343
7 49
7 7
1

Prime factors of 9604 are 2,7. Prime factorization of 9604 in exponential form is:

9604 = 22×74

Now multiplying the highest exponent prime factors to calculate the LCM of 9596 and 9604.

LCM(9596,9604) = 22×74×23991
LCM(9596,9604) = 23039996

Factors of 9596

List of positive integer factors of 9596 that divides 9596 without a remainder.

1, 2, 4, 2399, 4798, 9596

Factors of 9604

List of positive integer factors of 9604 that divides 9604 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604

Least Common Multiple of 9596 and 9604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9596 and 9604, than apply into the LCM equation.

GCF(9596,9604) = 4
LCM(9596,9604) = ( 9596 × 9604) / 4
LCM(9596,9604) = 92159984 / 4
LCM(9596,9604) = 23039996

Properties of LCM 9596 and 9604

(i) The LCM of 9604 and 9596 is associative

LCM of 9596 and 9604 = LCM of 9604 and 9596

Related Least Common Multiples of 9596

Related Least Common Multiples of 9604

Frequently Asked Questions on LCM of 9596 and 9604

1. What is the LCM of 9596 and 9604?

Answer: LCM of 9596 and 9604 is 23039996.

2. What are the Factors of 9596?

Answer: Factors of 9596 are 1, 2, 4, 2399, 4798, 9596. There are 6 integers that are factors of 9596. The greatest factor of 9596 is 9596.

3. What are the Factors of 9604?

Answer: Factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604. There are 15 integers that are factors of 9604. The greatest factor of 9604 is 9604.

4. How to Find the LCM of 9596 and 9604?

Answer:

Least Common Multiple of 9596 and 9604 = 23039996

Step 1: Find the prime factorization of 9596

9596 = 2 x 2 x 2399

Step 2: Find the prime factorization of 9604

9604 = 2 x 2 x 7 x 7 x 7 x 7

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

LCM = 23039996 = 2 x 2 x 7 x 7 x 7 x 7 x 2399

Step 4: Therefore, the least common multiple of 9596 and 9604 is 23039996.