Least Common Multiple of 8204 and 8209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8204 and 8209 the smallest integer that is 67346636 that is divisible by both numbers.

Least Common Multiple (LCM) of 8204 and 8209 is 67346636.

LCM(8204,8209) = 67346636

LCM of 8204 and 8209

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

LCM of:
and

Least Common Multiple of 8204 and 8209

LCM of 8204 and 8209 is 67346636

Least common multiple can be found by multiplying the highest exponent prime factors of 8204 and 8209. First we will calculate the prime factors of 8204 and 8209.

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

Prime Factorization of 8209


8209 8209
1

Prime factors of 8209 are 8209. Prime factorization of 8209 in exponential form is:

8209 = 82091

Now multiplying the highest exponent prime factors to calculate the LCM of 8204 and 8209.

LCM(8204,8209) = 22×71×2931×82091
LCM(8204,8209) = 67346636

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

Factors of 8209

List of positive integer factors of 8209 that divides 8209 without a remainder.

1, 8209

Least Common Multiple of 8204 and 8209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8204 and 8209, than apply into the LCM equation.

GCF(8204,8209) = 1
LCM(8204,8209) = ( 8204 × 8209) / 1
LCM(8204,8209) = 67346636 / 1
LCM(8204,8209) = 67346636

Properties of LCM 8204 and 8209

(i) The LCM of 8209 and 8204 is associative

LCM of 8204 and 8209 = LCM of 8209 and 8204

Related Least Common Multiples of 8204

Related Least Common Multiples of 8209

Frequently Asked Questions on LCM of 8204 and 8209

1. What is the LCM of 8204 and 8209?

Answer: LCM of 8204 and 8209 is 67346636.

2. 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.

3. What are the Factors of 8209?

Answer: Factors of 8209 are 1, 8209. There are 2 integers that are factors of 8209. The greatest factor of 8209 is 8209.

4. How to Find the LCM of 8204 and 8209?

Answer:

Least Common Multiple of 8204 and 8209 = 67346636

Step 1: Find the prime factorization of 8204

8204 = 2 x 2 x 7 x 293

Step 2: Find the prime factorization of 8209

8209 = 8209

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

LCM = 67346636 = 2 x 2 x 7 x 293 x 8209

Step 4: Therefore, the least common multiple of 8204 and 8209 is 67346636.