Least Common Multiple of 15189 and 15194

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

• Least Common Multiple of 15189 and 15194 by Prime method
• Least Common Multiple of 15189 and 15194 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15189 and 15194. First we will calculate the prime factors of 15189 and 15194.

Prime Factorization of 15189

Prime factors of 15189 are 3, 61,83. Prime factorization of 15189 in exponential form is:

15189 = 3¹×61¹×83¹

Prime Factorization of 15194

Prime factors of 15194 are 2, 71,107. Prime factorization of 15194 in exponential form is:

15194 = 2¹×71¹×107¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15189 and 15194.

LCM(15189,15194) = 2¹×3¹×61¹×71¹×83¹×107¹
LCM(15189,15194) = 230781666

Factors of 15189

List of positive integer factors of 15189 that divides 15189 without a remainder.

1, 3, 61, 83, 183, 249, 5063, 15189

Factors of 15194

List of positive integer factors of 15194 that divides 15194 without a remainder.

1, 2, 71, 107, 142, 214, 7597, 15194

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15189 and 15194, than apply into the LCM equation.

GCF(15189,15194) = 1
LCM(15189,15194) = ( 15189 × 15194) / 1
LCM(15189,15194) = 230781666 / 1
LCM(15189,15194) = 230781666

(i) The LCM of 15194 and 15189 is associative

LCM of 15189 and 15194 = LCM of 15194 and 15189

1. What is the LCM of 15189 and 15194?

Answer: LCM of 15189 and 15194 is 230781666.

2. What are the Factors of 15189?

Answer: Factors of 15189 are 1, 3, 61, 83, 183, 249, 5063, 15189. There are 8 integers that are factors of 15189. The greatest factor of 15189 is 15189.

3. What are the Factors of 15194?

Answer: Factors of 15194 are 1, 2, 71, 107, 142, 214, 7597, 15194. There are 8 integers that are factors of 15194. The greatest factor of 15194 is 15194.

4. How to Find the LCM of 15189 and 15194?

Answer:

Least Common Multiple of 15189 and 15194 = 230781666

Step 1: Find the prime factorization of 15189

15189 = 3 x 61 x 83

Step 2: Find the prime factorization of 15194

15194 = 2 x 71 x 107

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

LCM = 230781666 = 2 x 3 x 61 x 71 x 83 x 107

Step 4: Therefore, the least common multiple of 15189 and 15194 is 230781666.