Least Common Multiple of 8192 and 8196

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 8196 the smallest integer that is 16785408 that is divisible by both numbers.

Least Common Multiple (LCM) of 8192 and 8196 is 16785408.

LCM(8192,8196) = 16785408

LCM of 8192 and 8196

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

LCM of:
and

Least Common Multiple of 8192 and 8196

LCM of 8192 and 8196 is 16785408

Least common multiple can be found by multiplying the highest exponent prime factors of 8192 and 8196. First we will calculate the prime factors of 8192 and 8196.

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 8196


2 8196
2 4098
3 2049
683 683
1

Prime factors of 8196 are 2, 3,683. Prime factorization of 8196 in exponential form is:

8196 = 22×31×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 8192 and 8196.

LCM(8192,8196) = 213×31×6831
LCM(8192,8196) = 16785408

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 8196

List of positive integer factors of 8196 that divides 8196 without a remainder.

1, 2, 3, 4, 6, 12, 683, 1366, 2049, 2732, 4098, 8196

Least Common Multiple of 8192 and 8196 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 8196, than apply into the LCM equation.

GCF(8192,8196) = 4
LCM(8192,8196) = ( 8192 × 8196) / 4
LCM(8192,8196) = 67141632 / 4
LCM(8192,8196) = 16785408

Properties of LCM 8192 and 8196

(i) The LCM of 8196 and 8192 is associative

LCM of 8192 and 8196 = LCM of 8196 and 8192

Related Least Common Multiples of 8192

Related Least Common Multiples of 8196

Frequently Asked Questions on LCM of 8192 and 8196

1. What is the LCM of 8192 and 8196?

Answer: LCM of 8192 and 8196 is 16785408.

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 8196?

Answer: Factors of 8196 are 1, 2, 3, 4, 6, 12, 683, 1366, 2049, 2732, 4098, 8196. There are 12 integers that are factors of 8196. The greatest factor of 8196 is 8196.

4. How to Find the LCM of 8192 and 8196?

Answer:

Least Common Multiple of 8192 and 8196 = 16785408

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 8196

8196 = 2 x 2 x 3 x 683

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

LCM = 16785408 = 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 683

Step 4: Therefore, the least common multiple of 8192 and 8196 is 16785408.