Least Common Multiple of 34194 and 34199

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

• Least Common Multiple of 34194 and 34199 by Prime method
• Least Common Multiple of 34194 and 34199 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34194 and 34199. First we will calculate the prime factors of 34194 and 34199.

Prime Factorization of 34194

Prime factors of 34194 are 2, 3, 41,139. Prime factorization of 34194 in exponential form is:

34194 = 2¹×3¹×41¹×139¹

Prime Factorization of 34199

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

34199 = 11¹×3109¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34194 and 34199.

LCM(34194,34199) = 2¹×3¹×11¹×41¹×139¹×3109¹
LCM(34194,34199) = 1169400606

Factors of 34194

List of positive integer factors of 34194 that divides 34194 without a remainder.

1, 2, 3, 6, 41, 82, 123, 139, 246, 278, 417, 834, 5699, 11398, 17097, 34194

Factors of 34199

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

1, 11, 3109, 34199

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34194 and 34199, than apply into the LCM equation.

GCF(34194,34199) = 1
LCM(34194,34199) = ( 34194 × 34199) / 1
LCM(34194,34199) = 1169400606 / 1
LCM(34194,34199) = 1169400606

(i) The LCM of 34199 and 34194 is associative

LCM of 34194 and 34199 = LCM of 34199 and 34194

1. What is the LCM of 34194 and 34199?

Answer: LCM of 34194 and 34199 is 1169400606.

2. What are the Factors of 34194?

Answer: Factors of 34194 are 1, 2, 3, 6, 41, 82, 123, 139, 246, 278, 417, 834, 5699, 11398, 17097, 34194. There are 16 integers that are factors of 34194. The greatest factor of 34194 is 34194.

3. 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.

4. How to Find the LCM of 34194 and 34199?

Answer:

Least Common Multiple of 34194 and 34199 = 1169400606

Step 1: Find the prime factorization of 34194

34194 = 2 x 3 x 41 x 139

Step 2: Find the prime factorization of 34199

34199 = 11 x 3109

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

LCM = 1169400606 = 2 x 3 x 11 x 41 x 139 x 3109

Step 4: Therefore, the least common multiple of 34194 and 34199 is 1169400606.