Least Common Multiple of 8200 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 8200 and 8204 the smallest integer that is 16818200 that is divisible by both numbers.

Least Common Multiple (LCM) of 8200 and 8204 is 16818200.

LCM(8200,8204) = 16818200

LCM of 8200 and 8204

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

LCM of:
and

Least Common Multiple of 8200 and 8204

LCM of 8200 and 8204 is 16818200

Least common multiple can be found by multiplying the highest exponent prime factors of 8200 and 8204. First we will calculate the prime factors of 8200 and 8204.

Prime Factorization of 8200


2 8200
2 4100
2 2050
5 1025
5 205
41 41
1

Prime factors of 8200 are 2, 5,41. Prime factorization of 8200 in exponential form is:

8200 = 23×52×411

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 8200 and 8204.

LCM(8200,8204) = 23×52×71×411×2931
LCM(8200,8204) = 16818200

Factors of 8200

List of positive integer factors of 8200 that divides 8200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 164, 200, 205, 328, 410, 820, 1025, 1640, 2050, 4100, 8200

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 8200 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 8200 and 8204, than apply into the LCM equation.

GCF(8200,8204) = 4
LCM(8200,8204) = ( 8200 × 8204) / 4
LCM(8200,8204) = 67272800 / 4
LCM(8200,8204) = 16818200

Properties of LCM 8200 and 8204

(i) The LCM of 8204 and 8200 is associative

LCM of 8200 and 8204 = LCM of 8204 and 8200

Related Least Common Multiples of 8200

Related Least Common Multiples of 8204

Frequently Asked Questions on LCM of 8200 and 8204

1. What is the LCM of 8200 and 8204?

Answer: LCM of 8200 and 8204 is 16818200.

2. What are the Factors of 8200?

Answer: Factors of 8200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 164, 200, 205, 328, 410, 820, 1025, 1640, 2050, 4100, 8200. There are 24 integers that are factors of 8200. The greatest factor of 8200 is 8200.

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 8200 and 8204?

Answer:

Least Common Multiple of 8200 and 8204 = 16818200

Step 1: Find the prime factorization of 8200

8200 = 2 x 2 x 2 x 5 x 5 x 41

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 = 16818200 = 2 x 2 x 2 x 5 x 5 x 7 x 41 x 293

Step 4: Therefore, the least common multiple of 8200 and 8204 is 16818200.