Least Common Multiple of 8200 and 8206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8200 and 8206 the smallest integer that is 33644600 that is divisible by both numbers.

Least Common Multiple (LCM) of 8200 and 8206 is 33644600.

LCM(8200,8206) = 33644600

LCM of 8200 and 8206

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

LCM of:
and

Least Common Multiple of 8200 and 8206

LCM of 8200 and 8206 is 33644600

Least common multiple can be found by multiplying the highest exponent prime factors of 8200 and 8206. First we will calculate the prime factors of 8200 and 8206.

Prime Factorization of 8200


2 8200
2 4100
2 2050
5 1025
5 205
41 41
1

Prime factors of 8200 are 2, 5,41. Prime factorization of 8200 in exponential form is:

8200 = 23×52×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8200 and 8206.

LCM(8200,8206) = 23×52×111×411×3731
LCM(8200,8206) = 33644600

Factors of 8200

List of positive integer factors of 8200 that divides 8200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 164, 200, 205, 328, 410, 820, 1025, 1640, 2050, 4100, 8200

Factors of 8206

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

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

Least Common Multiple of 8200 and 8206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8200 and 8206, than apply into the LCM equation.

GCF(8200,8206) = 2
LCM(8200,8206) = ( 8200 × 8206) / 2
LCM(8200,8206) = 67289200 / 2
LCM(8200,8206) = 33644600

Properties of LCM 8200 and 8206

(i) The LCM of 8206 and 8200 is associative

LCM of 8200 and 8206 = LCM of 8206 and 8200

Related Least Common Multiples of 8200

Related Least Common Multiples of 8206

Frequently Asked Questions on LCM of 8200 and 8206

1. What is the LCM of 8200 and 8206?

Answer: LCM of 8200 and 8206 is 33644600.

2. What are the Factors of 8200?

Answer: Factors of 8200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 164, 200, 205, 328, 410, 820, 1025, 1640, 2050, 4100, 8200. There are 24 integers that are factors of 8200. The greatest factor of 8200 is 8200.

3. 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.

4. How to Find the LCM of 8200 and 8206?

Answer:

Least Common Multiple of 8200 and 8206 = 33644600

Step 1: Find the prime factorization of 8200

8200 = 2 x 2 x 2 x 5 x 5 x 41

Step 2: Find the prime factorization of 8206

8206 = 2 x 11 x 373

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

LCM = 33644600 = 2 x 2 x 2 x 5 x 5 x 11 x 41 x 373

Step 4: Therefore, the least common multiple of 8200 and 8206 is 33644600.