Least Common Multiple of 15193 and 15198

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

• Least Common Multiple of 15193 and 15198 by Prime method
• Least Common Multiple of 15193 and 15198 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15193 and 15198. First we will calculate the prime factors of 15193 and 15198.

Prime Factorization of 15193

Prime factors of 15193 are 15193. Prime factorization of 15193 in exponential form is:

15193 = 15193¹

Prime Factorization of 15198

Prime factors of 15198 are 2, 3, 17,149. Prime factorization of 15198 in exponential form is:

15198 = 2¹×3¹×17¹×149¹

Now multiplying the highest exponent prime factors to calculate the LCM of 15193 and 15198.

LCM(15193,15198) = 2¹×3¹×17¹×149¹×15193¹
LCM(15193,15198) = 230903214

Factors of 15193

List of positive integer factors of 15193 that divides 15193 without a remainder.

1, 15193

Factors of 15198

List of positive integer factors of 15198 that divides 15198 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 149, 298, 447, 894, 2533, 5066, 7599, 15198

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15193 and 15198, than apply into the LCM equation.

GCF(15193,15198) = 1
LCM(15193,15198) = ( 15193 × 15198) / 1
LCM(15193,15198) = 230903214 / 1
LCM(15193,15198) = 230903214

(i) The LCM of 15198 and 15193 is associative

LCM of 15193 and 15198 = LCM of 15198 and 15193

1. What is the LCM of 15193 and 15198?

Answer: LCM of 15193 and 15198 is 230903214.

2. What are the Factors of 15193?

Answer: Factors of 15193 are 1, 15193. There are 2 integers that are factors of 15193. The greatest factor of 15193 is 15193.

3. What are the Factors of 15198?

Answer: Factors of 15198 are 1, 2, 3, 6, 17, 34, 51, 102, 149, 298, 447, 894, 2533, 5066, 7599, 15198. There are 16 integers that are factors of 15198. The greatest factor of 15198 is 15198.

4. How to Find the LCM of 15193 and 15198?

Answer:

Least Common Multiple of 15193 and 15198 = 230903214

Step 1: Find the prime factorization of 15193

15193 = 15193

Step 2: Find the prime factorization of 15198

15198 = 2 x 3 x 17 x 149

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

LCM = 230903214 = 2 x 3 x 17 x 149 x 15193

Step 4: Therefore, the least common multiple of 15193 and 15198 is 230903214.