Least Common Multiple of 8192 and 8197

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 8197 the smallest integer that is 67149824 that is divisible by both numbers.

Least Common Multiple (LCM) of 8192 and 8197 is 67149824.

LCM(8192,8197) = 67149824

LCM of 8192 and 8197

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

LCM of:
and

Least Common Multiple of 8192 and 8197

LCM of 8192 and 8197 is 67149824

Least common multiple can be found by multiplying the highest exponent prime factors of 8192 and 8197. First we will calculate the prime factors of 8192 and 8197.

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 8197


7 8197
1171 1171
1

Prime factors of 8197 are 7,1171. Prime factorization of 8197 in exponential form is:

8197 = 71×11711

Now multiplying the highest exponent prime factors to calculate the LCM of 8192 and 8197.

LCM(8192,8197) = 213×71×11711
LCM(8192,8197) = 67149824

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 8197

List of positive integer factors of 8197 that divides 8197 without a remainder.

1, 7, 1171, 8197

Least Common Multiple of 8192 and 8197 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 8197, than apply into the LCM equation.

GCF(8192,8197) = 1
LCM(8192,8197) = ( 8192 × 8197) / 1
LCM(8192,8197) = 67149824 / 1
LCM(8192,8197) = 67149824

Properties of LCM 8192 and 8197

(i) The LCM of 8197 and 8192 is associative

LCM of 8192 and 8197 = LCM of 8197 and 8192

Related Least Common Multiples of 8192

Related Least Common Multiples of 8197

Frequently Asked Questions on LCM of 8192 and 8197

1. What is the LCM of 8192 and 8197?

Answer: LCM of 8192 and 8197 is 67149824.

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 8197?

Answer: Factors of 8197 are 1, 7, 1171, 8197. There are 4 integers that are factors of 8197. The greatest factor of 8197 is 8197.

4. How to Find the LCM of 8192 and 8197?

Answer:

Least Common Multiple of 8192 and 8197 = 67149824

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 8197

8197 = 7 x 1171

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

LCM = 67149824 = 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 7 x 1171

Step 4: Therefore, the least common multiple of 8192 and 8197 is 67149824.