Least Common Multiple of 8188 and 8195

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 8195 the smallest integer that is 67100660 that is divisible by both numbers.

Least Common Multiple (LCM) of 8188 and 8195 is 67100660.

LCM(8188,8195) = 67100660

LCM of 8188 and 8195

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

LCM of:
and

Least Common Multiple of 8188 and 8195

LCM of 8188 and 8195 is 67100660

Least common multiple can be found by multiplying the highest exponent prime factors of 8188 and 8195. First we will calculate the prime factors of 8188 and 8195.

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 8195


5 8195
11 1639
149 149
1

Prime factors of 8195 are 5, 11,149. Prime factorization of 8195 in exponential form is:

8195 = 51×111×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 8188 and 8195.

LCM(8188,8195) = 22×51×111×231×891×1491
LCM(8188,8195) = 67100660

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 8195

List of positive integer factors of 8195 that divides 8195 without a remainder.

1, 5, 11, 55, 149, 745, 1639, 8195

Least Common Multiple of 8188 and 8195 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 8195, than apply into the LCM equation.

GCF(8188,8195) = 1
LCM(8188,8195) = ( 8188 × 8195) / 1
LCM(8188,8195) = 67100660 / 1
LCM(8188,8195) = 67100660

Properties of LCM 8188 and 8195

(i) The LCM of 8195 and 8188 is associative

LCM of 8188 and 8195 = LCM of 8195 and 8188

Related Least Common Multiples of 8188

Related Least Common Multiples of 8195

Frequently Asked Questions on LCM of 8188 and 8195

1. What is the LCM of 8188 and 8195?

Answer: LCM of 8188 and 8195 is 67100660.

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 8195?

Answer: Factors of 8195 are 1, 5, 11, 55, 149, 745, 1639, 8195. There are 8 integers that are factors of 8195. The greatest factor of 8195 is 8195.

4. How to Find the LCM of 8188 and 8195?

Answer:

Least Common Multiple of 8188 and 8195 = 67100660

Step 1: Find the prime factorization of 8188

8188 = 2 x 2 x 23 x 89

Step 2: Find the prime factorization of 8195

8195 = 5 x 11 x 149

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

LCM = 67100660 = 2 x 2 x 5 x 11 x 23 x 89 x 149

Step 4: Therefore, the least common multiple of 8188 and 8195 is 67100660.