Least Common Multiple of 8204 and 8211

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 8211 the smallest integer that is 9623292 that is divisible by both numbers.

Least Common Multiple (LCM) of 8204 and 8211 is 9623292.

LCM(8204,8211) = 9623292

LCM of 8204 and 8211

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

LCM of:
and

Least Common Multiple of 8204 and 8211

LCM of 8204 and 8211 is 9623292

Least common multiple can be found by multiplying the highest exponent prime factors of 8204 and 8211. First we will calculate the prime factors of 8204 and 8211.

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 8211


3 8211
7 2737
17 391
23 23
1

Prime factors of 8211 are 3, 7, 17,23. Prime factorization of 8211 in exponential form is:

8211 = 31×71×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 8204 and 8211.

LCM(8204,8211) = 22×31×71×171×231×2931
LCM(8204,8211) = 9623292

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 8211

List of positive integer factors of 8211 that divides 8211 without a remainder.

1, 3, 7, 17, 21, 23, 51, 69, 119, 161, 357, 391, 483, 1173, 2737, 8211

Least Common Multiple of 8204 and 8211 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 8211, than apply into the LCM equation.

GCF(8204,8211) = 7
LCM(8204,8211) = ( 8204 × 8211) / 7
LCM(8204,8211) = 67363044 / 7
LCM(8204,8211) = 9623292

Properties of LCM 8204 and 8211

(i) The LCM of 8211 and 8204 is associative

LCM of 8204 and 8211 = LCM of 8211 and 8204

Related Least Common Multiples of 8204

Related Least Common Multiples of 8211

Frequently Asked Questions on LCM of 8204 and 8211

1. What is the LCM of 8204 and 8211?

Answer: LCM of 8204 and 8211 is 9623292.

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 8211?

Answer: Factors of 8211 are 1, 3, 7, 17, 21, 23, 51, 69, 119, 161, 357, 391, 483, 1173, 2737, 8211. There are 16 integers that are factors of 8211. The greatest factor of 8211 is 8211.

4. How to Find the LCM of 8204 and 8211?

Answer:

Least Common Multiple of 8204 and 8211 = 9623292

Step 1: Find the prime factorization of 8204

8204 = 2 x 2 x 7 x 293

Step 2: Find the prime factorization of 8211

8211 = 3 x 7 x 17 x 23

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

LCM = 9623292 = 2 x 2 x 3 x 7 x 17 x 23 x 293

Step 4: Therefore, the least common multiple of 8204 and 8211 is 9623292.