Least Common Multiple of 9592 and 9599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9592 and 9599 the smallest integer that is 92073608 that is divisible by both numbers.

Least Common Multiple (LCM) of 9592 and 9599 is 92073608.

LCM(9592,9599) = 92073608

LCM of 9592 and 9599

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

LCM of:
and

Least Common Multiple of 9592 and 9599

LCM of 9592 and 9599 is 92073608

Least common multiple can be found by multiplying the highest exponent prime factors of 9592 and 9599. First we will calculate the prime factors of 9592 and 9599.

Prime Factorization of 9592


2 9592
2 4796
2 2398
11 1199
109 109
1

Prime factors of 9592 are 2, 11,109. Prime factorization of 9592 in exponential form is:

9592 = 23×111×1091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9592 and 9599.

LCM(9592,9599) = 23×111×291×1091×3311
LCM(9592,9599) = 92073608

Factors of 9592

List of positive integer factors of 9592 that divides 9592 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 109, 218, 436, 872, 1199, 2398, 4796, 9592

Factors of 9599

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

1, 29, 331, 9599

Least Common Multiple of 9592 and 9599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9592 and 9599, than apply into the LCM equation.

GCF(9592,9599) = 1
LCM(9592,9599) = ( 9592 × 9599) / 1
LCM(9592,9599) = 92073608 / 1
LCM(9592,9599) = 92073608

Properties of LCM 9592 and 9599

(i) The LCM of 9599 and 9592 is associative

LCM of 9592 and 9599 = LCM of 9599 and 9592

Related Least Common Multiples of 9592

Related Least Common Multiples of 9599

Frequently Asked Questions on LCM of 9592 and 9599

1. What is the LCM of 9592 and 9599?

Answer: LCM of 9592 and 9599 is 92073608.

2. What are the Factors of 9592?

Answer: Factors of 9592 are 1, 2, 4, 8, 11, 22, 44, 88, 109, 218, 436, 872, 1199, 2398, 4796, 9592. There are 16 integers that are factors of 9592. The greatest factor of 9592 is 9592.

3. 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.

4. How to Find the LCM of 9592 and 9599?

Answer:

Least Common Multiple of 9592 and 9599 = 92073608

Step 1: Find the prime factorization of 9592

9592 = 2 x 2 x 2 x 11 x 109

Step 2: Find the prime factorization of 9599

9599 = 29 x 331

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

LCM = 92073608 = 2 x 2 x 2 x 11 x 29 x 109 x 331

Step 4: Therefore, the least common multiple of 9592 and 9599 is 92073608.