Least Common Multiple of 8092 and 8099

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8092 and 8099 the smallest integer that is 9362444 that is divisible by both numbers.

Least Common Multiple (LCM) of 8092 and 8099 is 9362444.

LCM(8092,8099) = 9362444

LCM of 8092 and 8099

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

LCM of:
and

Least Common Multiple of 8092 and 8099

LCM of 8092 and 8099 is 9362444

Least common multiple can be found by multiplying the highest exponent prime factors of 8092 and 8099. First we will calculate the prime factors of 8092 and 8099.

Prime Factorization of 8092


2 8092
2 4046
7 2023
17 289
17 17
1

Prime factors of 8092 are 2, 7,17. Prime factorization of 8092 in exponential form is:

8092 = 22×71×172

Prime Factorization of 8099


7 8099
13 1157
89 89
1

Prime factors of 8099 are 7, 13,89. Prime factorization of 8099 in exponential form is:

8099 = 71×131×891

Now multiplying the highest exponent prime factors to calculate the LCM of 8092 and 8099.

LCM(8092,8099) = 22×71×131×172×891
LCM(8092,8099) = 9362444

Factors of 8092

List of positive integer factors of 8092 that divides 8092 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046, 8092

Factors of 8099

List of positive integer factors of 8099 that divides 8099 without a remainder.

1, 7, 13, 89, 91, 623, 1157, 8099

Least Common Multiple of 8092 and 8099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8092 and 8099, than apply into the LCM equation.

GCF(8092,8099) = 7
LCM(8092,8099) = ( 8092 × 8099) / 7
LCM(8092,8099) = 65537108 / 7
LCM(8092,8099) = 9362444

Properties of LCM 8092 and 8099

(i) The LCM of 8099 and 8092 is associative

LCM of 8092 and 8099 = LCM of 8099 and 8092

Related Least Common Multiples of 8092

Related Least Common Multiples of 8099

Frequently Asked Questions on LCM of 8092 and 8099

1. What is the LCM of 8092 and 8099?

Answer: LCM of 8092 and 8099 is 9362444.

2. What are the Factors of 8092?

Answer: Factors of 8092 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046, 8092. There are 18 integers that are factors of 8092. The greatest factor of 8092 is 8092.

3. What are the Factors of 8099?

Answer: Factors of 8099 are 1, 7, 13, 89, 91, 623, 1157, 8099. There are 8 integers that are factors of 8099. The greatest factor of 8099 is 8099.

4. How to Find the LCM of 8092 and 8099?

Answer:

Least Common Multiple of 8092 and 8099 = 9362444

Step 1: Find the prime factorization of 8092

8092 = 2 x 2 x 7 x 17 x 17

Step 2: Find the prime factorization of 8099

8099 = 7 x 13 x 89

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

LCM = 9362444 = 2 x 2 x 7 x 13 x 17 x 17 x 89

Step 4: Therefore, the least common multiple of 8092 and 8099 is 9362444.