Least Common Multiple of 8198 and 8204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8198 and 8204 the smallest integer that is 33628196 that is divisible by both numbers.

Least Common Multiple (LCM) of 8198 and 8204 is 33628196.

LCM(8198,8204) = 33628196

LCM of 8198 and 8204

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

LCM of:
and

Least Common Multiple of 8198 and 8204

LCM of 8198 and 8204 is 33628196

Least common multiple can be found by multiplying the highest exponent prime factors of 8198 and 8204. First we will calculate the prime factors of 8198 and 8204.

Prime Factorization of 8198


2 8198
4099 4099
1

Prime factors of 8198 are 2,4099. Prime factorization of 8198 in exponential form is:

8198 = 21×40991

Prime Factorization of 8204


2 8204
2 4102
7 2051
293 293
1

Prime factors of 8204 are 2, 7,293. Prime factorization of 8204 in exponential form is:

8204 = 22×71×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 8198 and 8204.

LCM(8198,8204) = 22×71×2931×40991
LCM(8198,8204) = 33628196

Factors of 8198

List of positive integer factors of 8198 that divides 8198 without a remainder.

1, 2, 4099, 8198

Factors of 8204

List of positive integer factors of 8204 that divides 8204 without a remainder.

1, 2, 4, 7, 14, 28, 293, 586, 1172, 2051, 4102, 8204

Least Common Multiple of 8198 and 8204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8198 and 8204, than apply into the LCM equation.

GCF(8198,8204) = 2
LCM(8198,8204) = ( 8198 × 8204) / 2
LCM(8198,8204) = 67256392 / 2
LCM(8198,8204) = 33628196

Properties of LCM 8198 and 8204

(i) The LCM of 8204 and 8198 is associative

LCM of 8198 and 8204 = LCM of 8204 and 8198

Related Least Common Multiples of 8198

Related Least Common Multiples of 8204

Frequently Asked Questions on LCM of 8198 and 8204

1. What is the LCM of 8198 and 8204?

Answer: LCM of 8198 and 8204 is 33628196.

2. What are the Factors of 8198?

Answer: Factors of 8198 are 1, 2, 4099, 8198. There are 4 integers that are factors of 8198. The greatest factor of 8198 is 8198.

3. What are the Factors of 8204?

Answer: Factors of 8204 are 1, 2, 4, 7, 14, 28, 293, 586, 1172, 2051, 4102, 8204. There are 12 integers that are factors of 8204. The greatest factor of 8204 is 8204.

4. How to Find the LCM of 8198 and 8204?

Answer:

Least Common Multiple of 8198 and 8204 = 33628196

Step 1: Find the prime factorization of 8198

8198 = 2 x 4099

Step 2: Find the prime factorization of 8204

8204 = 2 x 2 x 7 x 293

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

LCM = 33628196 = 2 x 2 x 7 x 293 x 4099

Step 4: Therefore, the least common multiple of 8198 and 8204 is 33628196.