Least Common Multiple of 15179 and 15186

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

• Least Common Multiple of 15179 and 15186 by Prime method
• Least Common Multiple of 15179 and 15186 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15179 and 15186. First we will calculate the prime factors of 15179 and 15186.

Prime Factorization of 15179

Prime factors of 15179 are 43,353. Prime factorization of 15179 in exponential form is:

15179 = 43¹×353¹

Prime Factorization of 15186

Prime factors of 15186 are 2, 3,2531. Prime factorization of 15186 in exponential form is:

15186 = 2¹×3¹×2531¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15179 and 15186.

LCM(15179,15186) = 2¹×3¹×43¹×353¹×2531¹
LCM(15179,15186) = 230508294

Factors of 15179

List of positive integer factors of 15179 that divides 15179 without a remainder.

1, 43, 353, 15179

Factors of 15186

List of positive integer factors of 15186 that divides 15186 without a remainder.

1, 2, 3, 6, 2531, 5062, 7593, 15186

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15179 and 15186, than apply into the LCM equation.

GCF(15179,15186) = 1
LCM(15179,15186) = ( 15179 × 15186) / 1
LCM(15179,15186) = 230508294 / 1
LCM(15179,15186) = 230508294

(i) The LCM of 15186 and 15179 is associative

LCM of 15179 and 15186 = LCM of 15186 and 15179

1. What is the LCM of 15179 and 15186?

Answer: LCM of 15179 and 15186 is 230508294.

2. What are the Factors of 15179?

Answer: Factors of 15179 are 1, 43, 353, 15179. There are 4 integers that are factors of 15179. The greatest factor of 15179 is 15179.

3. What are the Factors of 15186?

Answer: Factors of 15186 are 1, 2, 3, 6, 2531, 5062, 7593, 15186. There are 8 integers that are factors of 15186. The greatest factor of 15186 is 15186.

4. How to Find the LCM of 15179 and 15186?

Answer:

Least Common Multiple of 15179 and 15186 = 230508294

Step 1: Find the prime factorization of 15179

15179 = 43 x 353

Step 2: Find the prime factorization of 15186

15186 = 2 x 3 x 2531

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

LCM = 230508294 = 2 x 3 x 43 x 353 x 2531

Step 4: Therefore, the least common multiple of 15179 and 15186 is 230508294.