Least Common Multiple of 8204 and 8212

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 8212 the smallest integer that is 16842812 that is divisible by both numbers.

Least Common Multiple (LCM) of 8204 and 8212 is 16842812.

LCM(8204,8212) = 16842812

LCM of 8204 and 8212

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

LCM of:
and

Least Common Multiple of 8204 and 8212

LCM of 8204 and 8212 is 16842812

Least common multiple can be found by multiplying the highest exponent prime factors of 8204 and 8212. First we will calculate the prime factors of 8204 and 8212.

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 8212


2 8212
2 4106
2053 2053
1

Prime factors of 8212 are 2,2053. Prime factorization of 8212 in exponential form is:

8212 = 22×20531

Now multiplying the highest exponent prime factors to calculate the LCM of 8204 and 8212.

LCM(8204,8212) = 22×71×2931×20531
LCM(8204,8212) = 16842812

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 8212

List of positive integer factors of 8212 that divides 8212 without a remainder.

1, 2, 4, 2053, 4106, 8212

Least Common Multiple of 8204 and 8212 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 8212, than apply into the LCM equation.

GCF(8204,8212) = 4
LCM(8204,8212) = ( 8204 × 8212) / 4
LCM(8204,8212) = 67371248 / 4
LCM(8204,8212) = 16842812

Properties of LCM 8204 and 8212

(i) The LCM of 8212 and 8204 is associative

LCM of 8204 and 8212 = LCM of 8212 and 8204

Related Least Common Multiples of 8204

Related Least Common Multiples of 8212

Frequently Asked Questions on LCM of 8204 and 8212

1. What is the LCM of 8204 and 8212?

Answer: LCM of 8204 and 8212 is 16842812.

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 8212?

Answer: Factors of 8212 are 1, 2, 4, 2053, 4106, 8212. There are 6 integers that are factors of 8212. The greatest factor of 8212 is 8212.

4. How to Find the LCM of 8204 and 8212?

Answer:

Least Common Multiple of 8204 and 8212 = 16842812

Step 1: Find the prime factorization of 8204

8204 = 2 x 2 x 7 x 293

Step 2: Find the prime factorization of 8212

8212 = 2 x 2 x 2053

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

LCM = 16842812 = 2 x 2 x 7 x 293 x 2053

Step 4: Therefore, the least common multiple of 8204 and 8212 is 16842812.