Least Common Multiple of 8188 and 8191

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 8191 the smallest integer that is 67067908 that is divisible by both numbers.

Least Common Multiple (LCM) of 8188 and 8191 is 67067908.

LCM(8188,8191) = 67067908

LCM of 8188 and 8191

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

LCM of:
and

Least Common Multiple of 8188 and 8191

LCM of 8188 and 8191 is 67067908

Least common multiple can be found by multiplying the highest exponent prime factors of 8188 and 8191. First we will calculate the prime factors of 8188 and 8191.

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 8191


8191 8191
1

Prime factors of 8191 are 8191. Prime factorization of 8191 in exponential form is:

8191 = 81911

Now multiplying the highest exponent prime factors to calculate the LCM of 8188 and 8191.

LCM(8188,8191) = 22×231×891×81911
LCM(8188,8191) = 67067908

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 8191

List of positive integer factors of 8191 that divides 8191 without a remainder.

1, 8191

Least Common Multiple of 8188 and 8191 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 8191, than apply into the LCM equation.

GCF(8188,8191) = 1
LCM(8188,8191) = ( 8188 × 8191) / 1
LCM(8188,8191) = 67067908 / 1
LCM(8188,8191) = 67067908

Properties of LCM 8188 and 8191

(i) The LCM of 8191 and 8188 is associative

LCM of 8188 and 8191 = LCM of 8191 and 8188

Related Least Common Multiples of 8188

Related Least Common Multiples of 8191

Frequently Asked Questions on LCM of 8188 and 8191

1. What is the LCM of 8188 and 8191?

Answer: LCM of 8188 and 8191 is 67067908.

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 8191?

Answer: Factors of 8191 are 1, 8191. There are 2 integers that are factors of 8191. The greatest factor of 8191 is 8191.

4. How to Find the LCM of 8188 and 8191?

Answer:

Least Common Multiple of 8188 and 8191 = 67067908

Step 1: Find the prime factorization of 8188

8188 = 2 x 2 x 23 x 89

Step 2: Find the prime factorization of 8191

8191 = 8191

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

LCM = 67067908 = 2 x 2 x 23 x 89 x 8191

Step 4: Therefore, the least common multiple of 8188 and 8191 is 67067908.