Least Common Multiple of 34179 and 34185

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

• Least Common Multiple of 34179 and 34185 by Prime method
• Least Common Multiple of 34179 and 34185 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34179 and 34185. First we will calculate the prime factors of 34179 and 34185.

Prime Factorization of 34179

Prime factors of 34179 are 3,11393. Prime factorization of 34179 in exponential form is:

34179 = 3¹×11393¹

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 34179 and 34185.

LCM(34179,34185) = 3¹×5¹×43¹×53¹×11393¹
LCM(34179,34185) = 389469705

Factors of 34179

List of positive integer factors of 34179 that divides 34179 without a remainder.

1, 3, 11393, 34179

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 34179 and 34185, than apply into the LCM equation.

GCF(34179,34185) = 3
LCM(34179,34185) = ( 34179 × 34185) / 3
LCM(34179,34185) = 1168409115 / 3
LCM(34179,34185) = 389469705

(i) The LCM of 34185 and 34179 is associative

LCM of 34179 and 34185 = LCM of 34185 and 34179

1. What is the LCM of 34179 and 34185?

Answer: LCM of 34179 and 34185 is 389469705.

2. What are the Factors of 34179?

Answer: Factors of 34179 are 1, 3, 11393, 34179. There are 4 integers that are factors of 34179. The greatest factor of 34179 is 34179.

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 34179 and 34185?

Answer:

Least Common Multiple of 34179 and 34185 = 389469705

Step 1: Find the prime factorization of 34179

34179 = 3 x 11393

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 = 389469705 = 3 x 5 x 43 x 53 x 11393

Step 4: Therefore, the least common multiple of 34179 and 34185 is 389469705.