Least Common Multiple of 8205 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 8205 and 8209 the smallest integer that is 67354845 that is divisible by both numbers.

Least Common Multiple (LCM) of 8205 and 8209 is 67354845.

LCM(8205,8209) = 67354845

LCM of 8205 and 8209

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

LCM of:
and

Least Common Multiple of 8205 and 8209

LCM of 8205 and 8209 is 67354845

Least common multiple can be found by multiplying the highest exponent prime factors of 8205 and 8209. First we will calculate the prime factors of 8205 and 8209.

Prime Factorization of 8205


3 8205
5 2735
547 547
1

Prime factors of 8205 are 3, 5,547. Prime factorization of 8205 in exponential form is:

8205 = 31×51×5471

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 8205 and 8209.

LCM(8205,8209) = 31×51×5471×82091
LCM(8205,8209) = 67354845

Factors of 8205

List of positive integer factors of 8205 that divides 8205 without a remainder.

1, 3, 5, 15, 547, 1641, 2735, 8205

Factors of 8209

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

1, 8209

Least Common Multiple of 8205 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 8205 and 8209, than apply into the LCM equation.

GCF(8205,8209) = 1
LCM(8205,8209) = ( 8205 × 8209) / 1
LCM(8205,8209) = 67354845 / 1
LCM(8205,8209) = 67354845

Properties of LCM 8205 and 8209

(i) The LCM of 8209 and 8205 is associative

LCM of 8205 and 8209 = LCM of 8209 and 8205

Related Least Common Multiples of 8205

Related Least Common Multiples of 8209

Frequently Asked Questions on LCM of 8205 and 8209

1. What is the LCM of 8205 and 8209?

Answer: LCM of 8205 and 8209 is 67354845.

2. What are the Factors of 8205?

Answer: Factors of 8205 are 1, 3, 5, 15, 547, 1641, 2735, 8205. There are 8 integers that are factors of 8205. The greatest factor of 8205 is 8205.

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 8205 and 8209?

Answer:

Least Common Multiple of 8205 and 8209 = 67354845

Step 1: Find the prime factorization of 8205

8205 = 3 x 5 x 547

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 = 67354845 = 3 x 5 x 547 x 8209

Step 4: Therefore, the least common multiple of 8205 and 8209 is 67354845.