Least Common Multiple of 8204 and 8210

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 8210 the smallest integer that is 33677420 that is divisible by both numbers.

Least Common Multiple (LCM) of 8204 and 8210 is 33677420.

LCM(8204,8210) = 33677420

LCM of 8204 and 8210

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

LCM of:
and

Least Common Multiple of 8204 and 8210

LCM of 8204 and 8210 is 33677420

Least common multiple can be found by multiplying the highest exponent prime factors of 8204 and 8210. First we will calculate the prime factors of 8204 and 8210.

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 8210


2 8210
5 4105
821 821
1

Prime factors of 8210 are 2, 5,821. Prime factorization of 8210 in exponential form is:

8210 = 21×51×8211

Now multiplying the highest exponent prime factors to calculate the LCM of 8204 and 8210.

LCM(8204,8210) = 22×51×71×2931×8211
LCM(8204,8210) = 33677420

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 8210

List of positive integer factors of 8210 that divides 8210 without a remainder.

1, 2, 5, 10, 821, 1642, 4105, 8210

Least Common Multiple of 8204 and 8210 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 8210, than apply into the LCM equation.

GCF(8204,8210) = 2
LCM(8204,8210) = ( 8204 × 8210) / 2
LCM(8204,8210) = 67354840 / 2
LCM(8204,8210) = 33677420

Properties of LCM 8204 and 8210

(i) The LCM of 8210 and 8204 is associative

LCM of 8204 and 8210 = LCM of 8210 and 8204

Related Least Common Multiples of 8204

Related Least Common Multiples of 8210

Frequently Asked Questions on LCM of 8204 and 8210

1. What is the LCM of 8204 and 8210?

Answer: LCM of 8204 and 8210 is 33677420.

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 8210?

Answer: Factors of 8210 are 1, 2, 5, 10, 821, 1642, 4105, 8210. There are 8 integers that are factors of 8210. The greatest factor of 8210 is 8210.

4. How to Find the LCM of 8204 and 8210?

Answer:

Least Common Multiple of 8204 and 8210 = 33677420

Step 1: Find the prime factorization of 8204

8204 = 2 x 2 x 7 x 293

Step 2: Find the prime factorization of 8210

8210 = 2 x 5 x 821

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

LCM = 33677420 = 2 x 2 x 5 x 7 x 293 x 821

Step 4: Therefore, the least common multiple of 8204 and 8210 is 33677420.