Least Common Multiple of 8199 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 8199 and 8206 the smallest integer that is 67280994 that is divisible by both numbers.

Least Common Multiple (LCM) of 8199 and 8206 is 67280994.

LCM(8199,8206) = 67280994

LCM of 8199 and 8206

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

LCM of:
and

Least Common Multiple of 8199 and 8206

LCM of 8199 and 8206 is 67280994

Least common multiple can be found by multiplying the highest exponent prime factors of 8199 and 8206. First we will calculate the prime factors of 8199 and 8206.

Prime Factorization of 8199


3 8199
3 2733
911 911
1

Prime factors of 8199 are 3,911. Prime factorization of 8199 in exponential form is:

8199 = 32×9111

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 8199 and 8206.

LCM(8199,8206) = 21×32×111×3731×9111
LCM(8199,8206) = 67280994

Factors of 8199

List of positive integer factors of 8199 that divides 8199 without a remainder.

1, 3, 9, 911, 2733, 8199

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 8199 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 8199 and 8206, than apply into the LCM equation.

GCF(8199,8206) = 1
LCM(8199,8206) = ( 8199 × 8206) / 1
LCM(8199,8206) = 67280994 / 1
LCM(8199,8206) = 67280994

Properties of LCM 8199 and 8206

(i) The LCM of 8206 and 8199 is associative

LCM of 8199 and 8206 = LCM of 8206 and 8199

Related Least Common Multiples of 8199

Related Least Common Multiples of 8206

Frequently Asked Questions on LCM of 8199 and 8206

1. What is the LCM of 8199 and 8206?

Answer: LCM of 8199 and 8206 is 67280994.

2. What are the Factors of 8199?

Answer: Factors of 8199 are 1, 3, 9, 911, 2733, 8199. There are 6 integers that are factors of 8199. The greatest factor of 8199 is 8199.

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 8199 and 8206?

Answer:

Least Common Multiple of 8199 and 8206 = 67280994

Step 1: Find the prime factorization of 8199

8199 = 3 x 3 x 911

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 = 67280994 = 2 x 3 x 3 x 11 x 373 x 911

Step 4: Therefore, the least common multiple of 8199 and 8206 is 67280994.