Least Common Multiple of 34182 and 34189

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

• Least Common Multiple of 34182 and 34189 by Prime method
• Least Common Multiple of 34182 and 34189 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34182 and 34189. First we will calculate the prime factors of 34182 and 34189.

Prime Factorization of 34182

Prime factors of 34182 are 2, 3,211. Prime factorization of 34182 in exponential form is:

34182 = 2¹×3⁴×211¹

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 34182 and 34189.

LCM(34182,34189) = 2¹×3⁴×179¹×191¹×211¹
LCM(34182,34189) = 1168648398

Factors of 34182

List of positive integer factors of 34182 that divides 34182 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 211, 422, 633, 1266, 1899, 3798, 5697, 11394, 17091, 34182

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 34182 and 34189, than apply into the LCM equation.

GCF(34182,34189) = 1
LCM(34182,34189) = ( 34182 × 34189) / 1
LCM(34182,34189) = 1168648398 / 1
LCM(34182,34189) = 1168648398

(i) The LCM of 34189 and 34182 is associative

LCM of 34182 and 34189 = LCM of 34189 and 34182

1. What is the LCM of 34182 and 34189?

Answer: LCM of 34182 and 34189 is 1168648398.

2. What are the Factors of 34182?

Answer: Factors of 34182 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 211, 422, 633, 1266, 1899, 3798, 5697, 11394, 17091, 34182. There are 20 integers that are factors of 34182. The greatest factor of 34182 is 34182.

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 34182 and 34189?

Answer:

Least Common Multiple of 34182 and 34189 = 1168648398

Step 1: Find the prime factorization of 34182

34182 = 2 x 3 x 3 x 3 x 3 x 211

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 = 1168648398 = 2 x 3 x 3 x 3 x 3 x 179 x 191 x 211

Step 4: Therefore, the least common multiple of 34182 and 34189 is 1168648398.