Least Common Multiple of 8192 and 8199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8192 and 8199 the smallest integer that is 67166208 that is divisible by both numbers.

Least Common Multiple (LCM) of 8192 and 8199 is 67166208.

LCM(8192,8199) = 67166208

LCM of 8192 and 8199

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

LCM of:
and

Least Common Multiple of 8192 and 8199

LCM of 8192 and 8199 is 67166208

Least common multiple can be found by multiplying the highest exponent prime factors of 8192 and 8199. First we will calculate the prime factors of 8192 and 8199.

Prime Factorization of 8192


2 8192
2 4096
2 2048
2 1024
2 512
2 256
2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 8192 are 2. Prime factorization of 8192 in exponential form is:

8192 = 213

Prime Factorization of 8199


3 8199
3 2733
911 911
1

Prime factors of 8199 are 3,911. Prime factorization of 8199 in exponential form is:

8199 = 32×9111

Now multiplying the highest exponent prime factors to calculate the LCM of 8192 and 8199.

LCM(8192,8199) = 213×32×9111
LCM(8192,8199) = 67166208

Factors of 8192

List of positive integer factors of 8192 that divides 8192 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192

Factors of 8199

List of positive integer factors of 8199 that divides 8199 without a remainder.

1, 3, 9, 911, 2733, 8199

Least Common Multiple of 8192 and 8199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8192 and 8199, than apply into the LCM equation.

GCF(8192,8199) = 1
LCM(8192,8199) = ( 8192 × 8199) / 1
LCM(8192,8199) = 67166208 / 1
LCM(8192,8199) = 67166208

Properties of LCM 8192 and 8199

(i) The LCM of 8199 and 8192 is associative

LCM of 8192 and 8199 = LCM of 8199 and 8192

Related Least Common Multiples of 8192

Related Least Common Multiples of 8199

Frequently Asked Questions on LCM of 8192 and 8199

1. What is the LCM of 8192 and 8199?

Answer: LCM of 8192 and 8199 is 67166208.

2. What are the Factors of 8192?

Answer: Factors of 8192 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192. There are 14 integers that are factors of 8192. The greatest factor of 8192 is 8192.

3. What are the Factors of 8199?

Answer: Factors of 8199 are 1, 3, 9, 911, 2733, 8199. There are 6 integers that are factors of 8199. The greatest factor of 8199 is 8199.

4. How to Find the LCM of 8192 and 8199?

Answer:

Least Common Multiple of 8192 and 8199 = 67166208

Step 1: Find the prime factorization of 8192

8192 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Step 2: Find the prime factorization of 8199

8199 = 3 x 3 x 911

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

LCM = 67166208 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 911

Step 4: Therefore, the least common multiple of 8192 and 8199 is 67166208.