Least Common Multiple of 8192 and 8198

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 8198 the smallest integer that is 33579008 that is divisible by both numbers.

Least Common Multiple (LCM) of 8192 and 8198 is 33579008.

LCM(8192,8198) = 33579008

LCM of 8192 and 8198

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

LCM of:
and

Least Common Multiple of 8192 and 8198

LCM of 8192 and 8198 is 33579008

Least common multiple can be found by multiplying the highest exponent prime factors of 8192 and 8198. First we will calculate the prime factors of 8192 and 8198.

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 8198


2 8198
4099 4099
1

Prime factors of 8198 are 2,4099. Prime factorization of 8198 in exponential form is:

8198 = 21×40991

Now multiplying the highest exponent prime factors to calculate the LCM of 8192 and 8198.

LCM(8192,8198) = 213×40991
LCM(8192,8198) = 33579008

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 8198

List of positive integer factors of 8198 that divides 8198 without a remainder.

1, 2, 4099, 8198

Least Common Multiple of 8192 and 8198 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 8198, than apply into the LCM equation.

GCF(8192,8198) = 2
LCM(8192,8198) = ( 8192 × 8198) / 2
LCM(8192,8198) = 67158016 / 2
LCM(8192,8198) = 33579008

Properties of LCM 8192 and 8198

(i) The LCM of 8198 and 8192 is associative

LCM of 8192 and 8198 = LCM of 8198 and 8192

Related Least Common Multiples of 8192

Related Least Common Multiples of 8198

Frequently Asked Questions on LCM of 8192 and 8198

1. What is the LCM of 8192 and 8198?

Answer: LCM of 8192 and 8198 is 33579008.

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 8198?

Answer: Factors of 8198 are 1, 2, 4099, 8198. There are 4 integers that are factors of 8198. The greatest factor of 8198 is 8198.

4. How to Find the LCM of 8192 and 8198?

Answer:

Least Common Multiple of 8192 and 8198 = 33579008

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 8198

8198 = 2 x 4099

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

LCM = 33579008 = 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 4099

Step 4: Therefore, the least common multiple of 8192 and 8198 is 33579008.