Least Common Multiple of 8192 and 8193

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 8193 the smallest integer that is 67117056 that is divisible by both numbers.

Least Common Multiple (LCM) of 8192 and 8193 is 67117056.

LCM(8192,8193) = 67117056

LCM of 8192 and 8193

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

LCM of:
and

Least Common Multiple of 8192 and 8193

LCM of 8192 and 8193 is 67117056

Least common multiple can be found by multiplying the highest exponent prime factors of 8192 and 8193. First we will calculate the prime factors of 8192 and 8193.

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 8193


3 8193
2731 2731
1

Prime factors of 8193 are 3,2731. Prime factorization of 8193 in exponential form is:

8193 = 31×27311

Now multiplying the highest exponent prime factors to calculate the LCM of 8192 and 8193.

LCM(8192,8193) = 213×31×27311
LCM(8192,8193) = 67117056

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 8193

List of positive integer factors of 8193 that divides 8193 without a remainder.

1, 3, 2731, 8193

Least Common Multiple of 8192 and 8193 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 8193, than apply into the LCM equation.

GCF(8192,8193) = 1
LCM(8192,8193) = ( 8192 × 8193) / 1
LCM(8192,8193) = 67117056 / 1
LCM(8192,8193) = 67117056

Properties of LCM 8192 and 8193

(i) The LCM of 8193 and 8192 is associative

LCM of 8192 and 8193 = LCM of 8193 and 8192

Related Least Common Multiples of 8192

Related Least Common Multiples of 8193

Frequently Asked Questions on LCM of 8192 and 8193

1. What is the LCM of 8192 and 8193?

Answer: LCM of 8192 and 8193 is 67117056.

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 8193?

Answer: Factors of 8193 are 1, 3, 2731, 8193. There are 4 integers that are factors of 8193. The greatest factor of 8193 is 8193.

4. How to Find the LCM of 8192 and 8193?

Answer:

Least Common Multiple of 8192 and 8193 = 67117056

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 8193

8193 = 3 x 2731

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

LCM = 67117056 = 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 2731

Step 4: Therefore, the least common multiple of 8192 and 8193 is 67117056.