Least Common Multiple of 8188 and 8196

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 8196 the smallest integer that is 16777212 that is divisible by both numbers.

Least Common Multiple (LCM) of 8188 and 8196 is 16777212.

LCM(8188,8196) = 16777212

LCM of 8188 and 8196

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

LCM of:
and

Least Common Multiple of 8188 and 8196

LCM of 8188 and 8196 is 16777212

Least common multiple can be found by multiplying the highest exponent prime factors of 8188 and 8196. First we will calculate the prime factors of 8188 and 8196.

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 8196


2 8196
2 4098
3 2049
683 683
1

Prime factors of 8196 are 2, 3,683. Prime factorization of 8196 in exponential form is:

8196 = 22×31×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 8188 and 8196.

LCM(8188,8196) = 22×31×231×891×6831
LCM(8188,8196) = 16777212

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 8196

List of positive integer factors of 8196 that divides 8196 without a remainder.

1, 2, 3, 4, 6, 12, 683, 1366, 2049, 2732, 4098, 8196

Least Common Multiple of 8188 and 8196 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 8196, than apply into the LCM equation.

GCF(8188,8196) = 4
LCM(8188,8196) = ( 8188 × 8196) / 4
LCM(8188,8196) = 67108848 / 4
LCM(8188,8196) = 16777212

Properties of LCM 8188 and 8196

(i) The LCM of 8196 and 8188 is associative

LCM of 8188 and 8196 = LCM of 8196 and 8188

Related Least Common Multiples of 8188

Related Least Common Multiples of 8196

Frequently Asked Questions on LCM of 8188 and 8196

1. What is the LCM of 8188 and 8196?

Answer: LCM of 8188 and 8196 is 16777212.

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 8196?

Answer: Factors of 8196 are 1, 2, 3, 4, 6, 12, 683, 1366, 2049, 2732, 4098, 8196. There are 12 integers that are factors of 8196. The greatest factor of 8196 is 8196.

4. How to Find the LCM of 8188 and 8196?

Answer:

Least Common Multiple of 8188 and 8196 = 16777212

Step 1: Find the prime factorization of 8188

8188 = 2 x 2 x 23 x 89

Step 2: Find the prime factorization of 8196

8196 = 2 x 2 x 3 x 683

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

LCM = 16777212 = 2 x 2 x 3 x 23 x 89 x 683

Step 4: Therefore, the least common multiple of 8188 and 8196 is 16777212.