Least Common Multiple of 8206 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 8206 and 8210 the smallest integer that is 33685630 that is divisible by both numbers.

Least Common Multiple (LCM) of 8206 and 8210 is 33685630.

LCM(8206,8210) = 33685630

LCM of 8206 and 8210

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

LCM of:
and

Least Common Multiple of 8206 and 8210

LCM of 8206 and 8210 is 33685630

Least common multiple can be found by multiplying the highest exponent prime factors of 8206 and 8210. First we will calculate the prime factors of 8206 and 8210.

Prime Factorization of 8206


2 8206
11 4103
373 373
1

Prime factors of 8206 are 2, 11,373. Prime factorization of 8206 in exponential form is:

8206 = 21×111×3731

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 8206 and 8210.

LCM(8206,8210) = 21×51×111×3731×8211
LCM(8206,8210) = 33685630

Factors of 8206

List of positive integer factors of 8206 that divides 8206 without a remainder.

1, 2, 11, 22, 373, 746, 4103, 8206

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 8206 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 8206 and 8210, than apply into the LCM equation.

GCF(8206,8210) = 2
LCM(8206,8210) = ( 8206 × 8210) / 2
LCM(8206,8210) = 67371260 / 2
LCM(8206,8210) = 33685630

Properties of LCM 8206 and 8210

(i) The LCM of 8210 and 8206 is associative

LCM of 8206 and 8210 = LCM of 8210 and 8206

Related Least Common Multiples of 8206

Related Least Common Multiples of 8210

Frequently Asked Questions on LCM of 8206 and 8210

1. What is the LCM of 8206 and 8210?

Answer: LCM of 8206 and 8210 is 33685630.

2. What are the Factors of 8206?

Answer: Factors of 8206 are 1, 2, 11, 22, 373, 746, 4103, 8206. There are 8 integers that are factors of 8206. The greatest factor of 8206 is 8206.

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 8206 and 8210?

Answer:

Least Common Multiple of 8206 and 8210 = 33685630

Step 1: Find the prime factorization of 8206

8206 = 2 x 11 x 373

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 = 33685630 = 2 x 5 x 11 x 373 x 821

Step 4: Therefore, the least common multiple of 8206 and 8210 is 33685630.