Least Common Multiple of 34183 and 34191

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

• Least Common Multiple of 34183 and 34191 by Prime method
• Least Common Multiple of 34183 and 34191 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34183 and 34191. First we will calculate the prime factors of 34183 and 34191.

Prime Factorization of 34183

Prime factors of 34183 are 34183. Prime factorization of 34183 in exponential form is:

34183 = 34183¹

Prime Factorization of 34191

Prime factors of 34191 are 3, 29,131. Prime factorization of 34191 in exponential form is:

34191 = 3²×29¹×131¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34183 and 34191.

LCM(34183,34191) = 3²×29¹×131¹×34183¹
LCM(34183,34191) = 1168750953

Factors of 34183

List of positive integer factors of 34183 that divides 34183 without a remainder.

1, 34183

Factors of 34191

List of positive integer factors of 34191 that divides 34191 without a remainder.

1, 3, 9, 29, 87, 131, 261, 393, 1179, 3799, 11397, 34191

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34183 and 34191, than apply into the LCM equation.

GCF(34183,34191) = 1
LCM(34183,34191) = ( 34183 × 34191) / 1
LCM(34183,34191) = 1168750953 / 1
LCM(34183,34191) = 1168750953

(i) The LCM of 34191 and 34183 is associative

LCM of 34183 and 34191 = LCM of 34191 and 34183

1. What is the LCM of 34183 and 34191?

Answer: LCM of 34183 and 34191 is 1168750953.

2. What are the Factors of 34183?

Answer: Factors of 34183 are 1, 34183. There are 2 integers that are factors of 34183. The greatest factor of 34183 is 34183.

3. What are the Factors of 34191?

Answer: Factors of 34191 are 1, 3, 9, 29, 87, 131, 261, 393, 1179, 3799, 11397, 34191. There are 12 integers that are factors of 34191. The greatest factor of 34191 is 34191.

4. How to Find the LCM of 34183 and 34191?

Answer:

Least Common Multiple of 34183 and 34191 = 1168750953

Step 1: Find the prime factorization of 34183

34183 = 34183

Step 2: Find the prime factorization of 34191

34191 = 3 x 3 x 29 x 131

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

LCM = 1168750953 = 3 x 3 x 29 x 131 x 34183

Step 4: Therefore, the least common multiple of 34183 and 34191 is 1168750953.