Least Common Multiple of 8188 and 8194

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 8194 the smallest integer that is 33546236 that is divisible by both numbers.

Least Common Multiple (LCM) of 8188 and 8194 is 33546236.

LCM(8188,8194) = 33546236

LCM of 8188 and 8194

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

LCM of:
and

Least Common Multiple of 8188 and 8194

LCM of 8188 and 8194 is 33546236

Least common multiple can be found by multiplying the highest exponent prime factors of 8188 and 8194. First we will calculate the prime factors of 8188 and 8194.

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 8194


2 8194
17 4097
241 241
1

Prime factors of 8194 are 2, 17,241. Prime factorization of 8194 in exponential form is:

8194 = 21×171×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 8188 and 8194.

LCM(8188,8194) = 22×171×231×891×2411
LCM(8188,8194) = 33546236

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 8194

List of positive integer factors of 8194 that divides 8194 without a remainder.

1, 2, 17, 34, 241, 482, 4097, 8194

Least Common Multiple of 8188 and 8194 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 8194, than apply into the LCM equation.

GCF(8188,8194) = 2
LCM(8188,8194) = ( 8188 × 8194) / 2
LCM(8188,8194) = 67092472 / 2
LCM(8188,8194) = 33546236

Properties of LCM 8188 and 8194

(i) The LCM of 8194 and 8188 is associative

LCM of 8188 and 8194 = LCM of 8194 and 8188

Related Least Common Multiples of 8188

Related Least Common Multiples of 8194

Frequently Asked Questions on LCM of 8188 and 8194

1. What is the LCM of 8188 and 8194?

Answer: LCM of 8188 and 8194 is 33546236.

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 8194?

Answer: Factors of 8194 are 1, 2, 17, 34, 241, 482, 4097, 8194. There are 8 integers that are factors of 8194. The greatest factor of 8194 is 8194.

4. How to Find the LCM of 8188 and 8194?

Answer:

Least Common Multiple of 8188 and 8194 = 33546236

Step 1: Find the prime factorization of 8188

8188 = 2 x 2 x 23 x 89

Step 2: Find the prime factorization of 8194

8194 = 2 x 17 x 241

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

LCM = 33546236 = 2 x 2 x 17 x 23 x 89 x 241

Step 4: Therefore, the least common multiple of 8188 and 8194 is 33546236.