Least Common Multiple of 34181 and 34185

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

• Least Common Multiple of 34181 and 34185 by Prime method
• Least Common Multiple of 34181 and 34185 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34181 and 34185. First we will calculate the prime factors of 34181 and 34185.

Prime Factorization of 34181

Prime factors of 34181 are 7, 19,257. Prime factorization of 34181 in exponential form is:

34181 = 7¹×19¹×257¹

Prime Factorization of 34185

Prime factors of 34185 are 3, 5, 43,53. Prime factorization of 34185 in exponential form is:

34185 = 3¹×5¹×43¹×53¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34181 and 34185.

LCM(34181,34185) = 3¹×5¹×7¹×19¹×43¹×53¹×257¹
LCM(34181,34185) = 1168477485

Factors of 34181

List of positive integer factors of 34181 that divides 34181 without a remainder.

1, 7, 19, 133, 257, 1799, 4883, 34181

Factors of 34185

List of positive integer factors of 34185 that divides 34185 without a remainder.

1, 3, 5, 15, 43, 53, 129, 159, 215, 265, 645, 795, 2279, 6837, 11395, 34185

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34181 and 34185, than apply into the LCM equation.

GCF(34181,34185) = 1
LCM(34181,34185) = ( 34181 × 34185) / 1
LCM(34181,34185) = 1168477485 / 1
LCM(34181,34185) = 1168477485

(i) The LCM of 34185 and 34181 is associative

LCM of 34181 and 34185 = LCM of 34185 and 34181

1. What is the LCM of 34181 and 34185?

Answer: LCM of 34181 and 34185 is 1168477485.

2. What are the Factors of 34181?

Answer: Factors of 34181 are 1, 7, 19, 133, 257, 1799, 4883, 34181. There are 8 integers that are factors of 34181. The greatest factor of 34181 is 34181.

3. What are the Factors of 34185?

Answer: Factors of 34185 are 1, 3, 5, 15, 43, 53, 129, 159, 215, 265, 645, 795, 2279, 6837, 11395, 34185. There are 16 integers that are factors of 34185. The greatest factor of 34185 is 34185.

4. How to Find the LCM of 34181 and 34185?

Answer:

Least Common Multiple of 34181 and 34185 = 1168477485

Step 1: Find the prime factorization of 34181

34181 = 7 x 19 x 257

Step 2: Find the prime factorization of 34185

34185 = 3 x 5 x 43 x 53

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

LCM = 1168477485 = 3 x 5 x 7 x 19 x 43 x 53 x 257

Step 4: Therefore, the least common multiple of 34181 and 34185 is 1168477485.