Least Common Multiple of 8188 and 8192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8188 and 8192 the smallest integer that is 16769024 that is divisible by both numbers.

Least Common Multiple (LCM) of 8188 and 8192 is 16769024.

LCM(8188,8192) = 16769024

LCM of 8188 and 8192

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

LCM of:
and

Least Common Multiple of 8188 and 8192

LCM of 8188 and 8192 is 16769024

Least common multiple can be found by multiplying the highest exponent prime factors of 8188 and 8192. First we will calculate the prime factors of 8188 and 8192.

Prime Factorization of 8188


2 8188
2 4094
23 2047
89 89
1

Prime factors of 8188 are 2, 23,89. Prime factorization of 8188 in exponential form is:

8188 = 22×231×891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8188 and 8192.

LCM(8188,8192) = 213×231×891
LCM(8188,8192) = 16769024

Factors of 8188

List of positive integer factors of 8188 that divides 8188 without a remainder.

1, 2, 4, 23, 46, 89, 92, 178, 356, 2047, 4094, 8188

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

Least Common Multiple of 8188 and 8192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8188 and 8192, than apply into the LCM equation.

GCF(8188,8192) = 4
LCM(8188,8192) = ( 8188 × 8192) / 4
LCM(8188,8192) = 67076096 / 4
LCM(8188,8192) = 16769024

Properties of LCM 8188 and 8192

(i) The LCM of 8192 and 8188 is associative

LCM of 8188 and 8192 = LCM of 8192 and 8188

Related Least Common Multiples of 8188

Related Least Common Multiples of 8192

Frequently Asked Questions on LCM of 8188 and 8192

1. What is the LCM of 8188 and 8192?

Answer: LCM of 8188 and 8192 is 16769024.

2. What are the Factors of 8188?

Answer: Factors of 8188 are 1, 2, 4, 23, 46, 89, 92, 178, 356, 2047, 4094, 8188. There are 12 integers that are factors of 8188. The greatest factor of 8188 is 8188.

3. 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.

4. How to Find the LCM of 8188 and 8192?

Answer:

Least Common Multiple of 8188 and 8192 = 16769024

Step 1: Find the prime factorization of 8188

8188 = 2 x 2 x 23 x 89

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 16769024 = 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 23 x 89

Step 4: Therefore, the least common multiple of 8188 and 8192 is 16769024.