Least Common Multiple of 34189 and 34195

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

• Least Common Multiple of 34189 and 34195 by Prime method
• Least Common Multiple of 34189 and 34195 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34189 and 34195. First we will calculate the prime factors of 34189 and 34195.

Prime Factorization of 34189

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

34189 = 179¹×191¹

Prime Factorization of 34195

Prime factors of 34195 are 5, 7,977. Prime factorization of 34195 in exponential form is:

34195 = 5¹×7¹×977¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34189 and 34195.

LCM(34189,34195) = 5¹×7¹×179¹×191¹×977¹
LCM(34189,34195) = 1169092855

Factors of 34189

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

1, 179, 191, 34189

Factors of 34195

List of positive integer factors of 34195 that divides 34195 without a remainder.

1, 5, 7, 35, 977, 4885, 6839, 34195

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34189 and 34195, than apply into the LCM equation.

GCF(34189,34195) = 1
LCM(34189,34195) = ( 34189 × 34195) / 1
LCM(34189,34195) = 1169092855 / 1
LCM(34189,34195) = 1169092855

(i) The LCM of 34195 and 34189 is associative

LCM of 34189 and 34195 = LCM of 34195 and 34189

1. What is the LCM of 34189 and 34195?

Answer: LCM of 34189 and 34195 is 1169092855.

2. 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.

3. What are the Factors of 34195?

Answer: Factors of 34195 are 1, 5, 7, 35, 977, 4885, 6839, 34195. There are 8 integers that are factors of 34195. The greatest factor of 34195 is 34195.

4. How to Find the LCM of 34189 and 34195?

Answer:

Least Common Multiple of 34189 and 34195 = 1169092855

Step 1: Find the prime factorization of 34189

34189 = 179 x 191

Step 2: Find the prime factorization of 34195

34195 = 5 x 7 x 977

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

LCM = 1169092855 = 5 x 7 x 179 x 191 x 977

Step 4: Therefore, the least common multiple of 34189 and 34195 is 1169092855.