Least Common Multiple of 8092 and 8100

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 8100 the smallest integer that is 16386300 that is divisible by both numbers.

Least Common Multiple (LCM) of 8092 and 8100 is 16386300.

LCM(8092,8100) = 16386300

LCM of 8092 and 8100

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

LCM of:
and

Least Common Multiple of 8092 and 8100

LCM of 8092 and 8100 is 16386300

Least common multiple can be found by multiplying the highest exponent prime factors of 8092 and 8100. First we will calculate the prime factors of 8092 and 8100.

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 8100


2 8100
2 4050
3 2025
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 8100 are 2, 3,5. Prime factorization of 8100 in exponential form is:

8100 = 22×34×52

Now multiplying the highest exponent prime factors to calculate the LCM of 8092 and 8100.

LCM(8092,8100) = 22×34×52×71×172
LCM(8092,8100) = 16386300

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 8100

List of positive integer factors of 8100 that divides 8100 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100

Least Common Multiple of 8092 and 8100 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 8100, than apply into the LCM equation.

GCF(8092,8100) = 4
LCM(8092,8100) = ( 8092 × 8100) / 4
LCM(8092,8100) = 65545200 / 4
LCM(8092,8100) = 16386300

Properties of LCM 8092 and 8100

(i) The LCM of 8100 and 8092 is associative

LCM of 8092 and 8100 = LCM of 8100 and 8092

Related Least Common Multiples of 8092

Related Least Common Multiples of 8100

Frequently Asked Questions on LCM of 8092 and 8100

1. What is the LCM of 8092 and 8100?

Answer: LCM of 8092 and 8100 is 16386300.

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 8100?

Answer: Factors of 8100 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 270, 300, 324, 405, 450, 540, 675, 810, 900, 1350, 1620, 2025, 2700, 4050, 8100. There are 45 integers that are factors of 8100. The greatest factor of 8100 is 8100.

4. How to Find the LCM of 8092 and 8100?

Answer:

Least Common Multiple of 8092 and 8100 = 16386300

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 8100

8100 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5

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

LCM = 16386300 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 7 x 17 x 17

Step 4: Therefore, the least common multiple of 8092 and 8100 is 16386300.