Least Common Multiple of 8204 and 8208

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 8208 the smallest integer that is 16834608 that is divisible by both numbers.

Least Common Multiple (LCM) of 8204 and 8208 is 16834608.

LCM(8204,8208) = 16834608

LCM of 8204 and 8208

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

LCM of:
and

Least Common Multiple of 8204 and 8208

LCM of 8204 and 8208 is 16834608

Least common multiple can be found by multiplying the highest exponent prime factors of 8204 and 8208. First we will calculate the prime factors of 8204 and 8208.

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 8208


2 8208
2 4104
2 2052
2 1026
3 513
3 171
3 57
19 19
1

Prime factors of 8208 are 2, 3,19. Prime factorization of 8208 in exponential form is:

8208 = 24×33×191

Now multiplying the highest exponent prime factors to calculate the LCM of 8204 and 8208.

LCM(8204,8208) = 24×33×71×191×2931
LCM(8204,8208) = 16834608

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 8208

List of positive integer factors of 8208 that divides 8208 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 36, 38, 48, 54, 57, 72, 76, 108, 114, 144, 152, 171, 216, 228, 304, 342, 432, 456, 513, 684, 912, 1026, 1368, 2052, 2736, 4104, 8208

Least Common Multiple of 8204 and 8208 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 8208, than apply into the LCM equation.

GCF(8204,8208) = 4
LCM(8204,8208) = ( 8204 × 8208) / 4
LCM(8204,8208) = 67338432 / 4
LCM(8204,8208) = 16834608

Properties of LCM 8204 and 8208

(i) The LCM of 8208 and 8204 is associative

LCM of 8204 and 8208 = LCM of 8208 and 8204

Related Least Common Multiples of 8204

Related Least Common Multiples of 8208

Frequently Asked Questions on LCM of 8204 and 8208

1. What is the LCM of 8204 and 8208?

Answer: LCM of 8204 and 8208 is 16834608.

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 8208?

Answer: Factors of 8208 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 36, 38, 48, 54, 57, 72, 76, 108, 114, 144, 152, 171, 216, 228, 304, 342, 432, 456, 513, 684, 912, 1026, 1368, 2052, 2736, 4104, 8208. There are 40 integers that are factors of 8208. The greatest factor of 8208 is 8208.

4. How to Find the LCM of 8204 and 8208?

Answer:

Least Common Multiple of 8204 and 8208 = 16834608

Step 1: Find the prime factorization of 8204

8204 = 2 x 2 x 7 x 293

Step 2: Find the prime factorization of 8208

8208 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 19

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

LCM = 16834608 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 19 x 293

Step 4: Therefore, the least common multiple of 8204 and 8208 is 16834608.