Least Common Multiple of 8199 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 8199 and 8204 the smallest integer that is 67264596 that is divisible by both numbers.

Least Common Multiple (LCM) of 8199 and 8204 is 67264596.

LCM(8199,8204) = 67264596

LCM of 8199 and 8204

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

LCM of:
and

Least Common Multiple of 8199 and 8204

LCM of 8199 and 8204 is 67264596

Least common multiple can be found by multiplying the highest exponent prime factors of 8199 and 8204. First we will calculate the prime factors of 8199 and 8204.

Prime Factorization of 8199


3 8199
3 2733
911 911
1

Prime factors of 8199 are 3,911. Prime factorization of 8199 in exponential form is:

8199 = 32×9111

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 8199 and 8204.

LCM(8199,8204) = 22×32×71×2931×9111
LCM(8199,8204) = 67264596

Factors of 8199

List of positive integer factors of 8199 that divides 8199 without a remainder.

1, 3, 9, 911, 2733, 8199

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 8199 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 8199 and 8204, than apply into the LCM equation.

GCF(8199,8204) = 1
LCM(8199,8204) = ( 8199 × 8204) / 1
LCM(8199,8204) = 67264596 / 1
LCM(8199,8204) = 67264596

Properties of LCM 8199 and 8204

(i) The LCM of 8204 and 8199 is associative

LCM of 8199 and 8204 = LCM of 8204 and 8199

Related Least Common Multiples of 8199

Related Least Common Multiples of 8204

Frequently Asked Questions on LCM of 8199 and 8204

1. What is the LCM of 8199 and 8204?

Answer: LCM of 8199 and 8204 is 67264596.

2. What are the Factors of 8199?

Answer: Factors of 8199 are 1, 3, 9, 911, 2733, 8199. There are 6 integers that are factors of 8199. The greatest factor of 8199 is 8199.

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 8199 and 8204?

Answer:

Least Common Multiple of 8199 and 8204 = 67264596

Step 1: Find the prime factorization of 8199

8199 = 3 x 3 x 911

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 = 67264596 = 2 x 2 x 3 x 3 x 7 x 293 x 911

Step 4: Therefore, the least common multiple of 8199 and 8204 is 67264596.