Least Common Multiple of 8188 and 8190

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 8190 the smallest integer that is 33529860 that is divisible by both numbers.

Least Common Multiple (LCM) of 8188 and 8190 is 33529860.

LCM(8188,8190) = 33529860

LCM of 8188 and 8190

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

LCM of:
and

Least Common Multiple of 8188 and 8190

LCM of 8188 and 8190 is 33529860

Least common multiple can be found by multiplying the highest exponent prime factors of 8188 and 8190. First we will calculate the prime factors of 8188 and 8190.

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 8190


2 8190
3 4095
3 1365
5 455
7 91
13 13
1

Prime factors of 8190 are 2, 3, 5, 7,13. Prime factorization of 8190 in exponential form is:

8190 = 21×32×51×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 8188 and 8190.

LCM(8188,8190) = 22×32×51×71×131×231×891
LCM(8188,8190) = 33529860

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 8190

List of positive integer factors of 8190 that divides 8190 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35, 39, 42, 45, 63, 65, 70, 78, 90, 91, 105, 117, 126, 130, 182, 195, 210, 234, 273, 315, 390, 455, 546, 585, 630, 819, 910, 1170, 1365, 1638, 2730, 4095, 8190

Least Common Multiple of 8188 and 8190 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 8190, than apply into the LCM equation.

GCF(8188,8190) = 2
LCM(8188,8190) = ( 8188 × 8190) / 2
LCM(8188,8190) = 67059720 / 2
LCM(8188,8190) = 33529860

Properties of LCM 8188 and 8190

(i) The LCM of 8190 and 8188 is associative

LCM of 8188 and 8190 = LCM of 8190 and 8188

Related Least Common Multiples of 8188

Related Least Common Multiples of 8190

Frequently Asked Questions on LCM of 8188 and 8190

1. What is the LCM of 8188 and 8190?

Answer: LCM of 8188 and 8190 is 33529860.

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 8190?

Answer: Factors of 8190 are 1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35, 39, 42, 45, 63, 65, 70, 78, 90, 91, 105, 117, 126, 130, 182, 195, 210, 234, 273, 315, 390, 455, 546, 585, 630, 819, 910, 1170, 1365, 1638, 2730, 4095, 8190. There are 48 integers that are factors of 8190. The greatest factor of 8190 is 8190.

4. How to Find the LCM of 8188 and 8190?

Answer:

Least Common Multiple of 8188 and 8190 = 33529860

Step 1: Find the prime factorization of 8188

8188 = 2 x 2 x 23 x 89

Step 2: Find the prime factorization of 8190

8190 = 2 x 3 x 3 x 5 x 7 x 13

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

LCM = 33529860 = 2 x 2 x 3 x 3 x 5 x 7 x 13 x 23 x 89

Step 4: Therefore, the least common multiple of 8188 and 8190 is 33529860.