Least Common Multiple of 34185 and 34189

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

• Least Common Multiple of 34185 and 34189 by Prime method
• Least Common Multiple of 34185 and 34189 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34185 and 34189. First we will calculate the prime factors of 34185 and 34189.

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

Prime Factorization of 34189

Prime factors of 34189 are 179,191. Prime factorization of 34189 in exponential form is:

34189 = 179¹×191¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34185 and 34189.

LCM(34185,34189) = 3¹×5¹×43¹×53¹×179¹×191¹
LCM(34185,34189) = 1168750965

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

Factors of 34189

List of positive integer factors of 34189 that divides 34189 without a remainder.

1, 179, 191, 34189

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34185 and 34189, than apply into the LCM equation.

GCF(34185,34189) = 1
LCM(34185,34189) = ( 34185 × 34189) / 1
LCM(34185,34189) = 1168750965 / 1
LCM(34185,34189) = 1168750965

(i) The LCM of 34189 and 34185 is associative

LCM of 34185 and 34189 = LCM of 34189 and 34185

1. What is the LCM of 34185 and 34189?

Answer: LCM of 34185 and 34189 is 1168750965.

2. 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.

3. What are the Factors of 34189?

Answer: Factors of 34189 are 1, 179, 191, 34189. There are 4 integers that are factors of 34189. The greatest factor of 34189 is 34189.

4. How to Find the LCM of 34185 and 34189?

Answer:

Least Common Multiple of 34185 and 34189 = 1168750965

Step 1: Find the prime factorization of 34185

34185 = 3 x 5 x 43 x 53

Step 2: Find the prime factorization of 34189

34189 = 179 x 191

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

LCM = 1168750965 = 3 x 5 x 43 x 53 x 179 x 191

Step 4: Therefore, the least common multiple of 34185 and 34189 is 1168750965.