Least Common Multiple of 34199 and 34206

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

• Least Common Multiple of 34199 and 34206 by Prime method
• Least Common Multiple of 34199 and 34206 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34199 and 34206. First we will calculate the prime factors of 34199 and 34206.

Prime Factorization of 34199

Prime factors of 34199 are 11,3109. Prime factorization of 34199 in exponential form is:

34199 = 11¹×3109¹

Prime Factorization of 34206

Prime factors of 34206 are 2, 3,5701. Prime factorization of 34206 in exponential form is:

34206 = 2¹×3¹×5701¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34199 and 34206.

LCM(34199,34206) = 2¹×3¹×11¹×3109¹×5701¹
LCM(34199,34206) = 1169810994

Factors of 34199

List of positive integer factors of 34199 that divides 34199 without a remainder.

1, 11, 3109, 34199

Factors of 34206

List of positive integer factors of 34206 that divides 34206 without a remainder.

1, 2, 3, 6, 5701, 11402, 17103, 34206

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34199 and 34206, than apply into the LCM equation.

GCF(34199,34206) = 1
LCM(34199,34206) = ( 34199 × 34206) / 1
LCM(34199,34206) = 1169810994 / 1
LCM(34199,34206) = 1169810994

(i) The LCM of 34206 and 34199 is associative

LCM of 34199 and 34206 = LCM of 34206 and 34199

1. What is the LCM of 34199 and 34206?

Answer: LCM of 34199 and 34206 is 1169810994.

2. What are the Factors of 34199?

Answer: Factors of 34199 are 1, 11, 3109, 34199. There are 4 integers that are factors of 34199. The greatest factor of 34199 is 34199.

3. What are the Factors of 34206?

Answer: Factors of 34206 are 1, 2, 3, 6, 5701, 11402, 17103, 34206. There are 8 integers that are factors of 34206. The greatest factor of 34206 is 34206.

4. How to Find the LCM of 34199 and 34206?

Answer:

Least Common Multiple of 34199 and 34206 = 1169810994

Step 1: Find the prime factorization of 34199

34199 = 11 x 3109

Step 2: Find the prime factorization of 34206

34206 = 2 x 3 x 5701

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

LCM = 1169810994 = 2 x 3 x 11 x 3109 x 5701

Step 4: Therefore, the least common multiple of 34199 and 34206 is 1169810994.