Least Common Multiple of 9599 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 9599 and 9604 the smallest integer that is 92188796 that is divisible by both numbers.

Least Common Multiple (LCM) of 9599 and 9604 is 92188796.

LCM(9599,9604) = 92188796

LCM of 9599 and 9604

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

LCM of:
and

Least Common Multiple of 9599 and 9604

LCM of 9599 and 9604 is 92188796

Least common multiple can be found by multiplying the highest exponent prime factors of 9599 and 9604. First we will calculate the prime factors of 9599 and 9604.

Prime Factorization of 9599


29 9599
331 331
1

Prime factors of 9599 are 29,331. Prime factorization of 9599 in exponential form is:

9599 = 291×3311

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 9599 and 9604.

LCM(9599,9604) = 22×74×291×3311
LCM(9599,9604) = 92188796

Factors of 9599

List of positive integer factors of 9599 that divides 9599 without a remainder.

1, 29, 331, 9599

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 9599 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 9599 and 9604, than apply into the LCM equation.

GCF(9599,9604) = 1
LCM(9599,9604) = ( 9599 × 9604) / 1
LCM(9599,9604) = 92188796 / 1
LCM(9599,9604) = 92188796

Properties of LCM 9599 and 9604

(i) The LCM of 9604 and 9599 is associative

LCM of 9599 and 9604 = LCM of 9604 and 9599

Related Least Common Multiples of 9599

Related Least Common Multiples of 9604

Frequently Asked Questions on LCM of 9599 and 9604

1. What is the LCM of 9599 and 9604?

Answer: LCM of 9599 and 9604 is 92188796.

2. What are the Factors of 9599?

Answer: Factors of 9599 are 1, 29, 331, 9599. There are 4 integers that are factors of 9599. The greatest factor of 9599 is 9599.

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 9599 and 9604?

Answer:

Least Common Multiple of 9599 and 9604 = 92188796

Step 1: Find the prime factorization of 9599

9599 = 29 x 331

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 = 92188796 = 2 x 2 x 7 x 7 x 7 x 7 x 29 x 331

Step 4: Therefore, the least common multiple of 9599 and 9604 is 92188796.