Least Common Multiple of 8188 and 8189

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 8189 the smallest integer that is 67051532 that is divisible by both numbers.

Least Common Multiple (LCM) of 8188 and 8189 is 67051532.

LCM(8188,8189) = 67051532

LCM of 8188 and 8189

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

LCM of:
and

Least Common Multiple of 8188 and 8189

LCM of 8188 and 8189 is 67051532

Least common multiple can be found by multiplying the highest exponent prime factors of 8188 and 8189. First we will calculate the prime factors of 8188 and 8189.

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 8189


19 8189
431 431
1

Prime factors of 8189 are 19,431. Prime factorization of 8189 in exponential form is:

8189 = 191×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 8188 and 8189.

LCM(8188,8189) = 22×191×231×891×4311
LCM(8188,8189) = 67051532

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 8189

List of positive integer factors of 8189 that divides 8189 without a remainder.

1, 19, 431, 8189

Least Common Multiple of 8188 and 8189 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 8189, than apply into the LCM equation.

GCF(8188,8189) = 1
LCM(8188,8189) = ( 8188 × 8189) / 1
LCM(8188,8189) = 67051532 / 1
LCM(8188,8189) = 67051532

Properties of LCM 8188 and 8189

(i) The LCM of 8189 and 8188 is associative

LCM of 8188 and 8189 = LCM of 8189 and 8188

Related Least Common Multiples of 8188

Related Least Common Multiples of 8189

Frequently Asked Questions on LCM of 8188 and 8189

1. What is the LCM of 8188 and 8189?

Answer: LCM of 8188 and 8189 is 67051532.

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 8189?

Answer: Factors of 8189 are 1, 19, 431, 8189. There are 4 integers that are factors of 8189. The greatest factor of 8189 is 8189.

4. How to Find the LCM of 8188 and 8189?

Answer:

Least Common Multiple of 8188 and 8189 = 67051532

Step 1: Find the prime factorization of 8188

8188 = 2 x 2 x 23 x 89

Step 2: Find the prime factorization of 8189

8189 = 19 x 431

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

LCM = 67051532 = 2 x 2 x 19 x 23 x 89 x 431

Step 4: Therefore, the least common multiple of 8188 and 8189 is 67051532.