Least Common Multiple of 15194 and 15198

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

• Least Common Multiple of 15194 and 15198 by Prime method
• Least Common Multiple of 15194 and 15198 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15194 and 15198. First we will calculate the prime factors of 15194 and 15198.

Prime Factorization of 15194

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

15194 = 2¹×71¹×107¹

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 15194 and 15198.

LCM(15194,15198) = 2¹×3¹×17¹×71¹×107¹×149¹
LCM(15194,15198) = 115459206

Factors of 15194

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

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

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 15194 and 15198, than apply into the LCM equation.

GCF(15194,15198) = 2
LCM(15194,15198) = ( 15194 × 15198) / 2
LCM(15194,15198) = 230918412 / 2
LCM(15194,15198) = 115459206

(i) The LCM of 15198 and 15194 is associative

LCM of 15194 and 15198 = LCM of 15198 and 15194

1. What is the LCM of 15194 and 15198?

Answer: LCM of 15194 and 15198 is 115459206.

2. 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.

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 15194 and 15198?

Answer:

Least Common Multiple of 15194 and 15198 = 115459206

Step 1: Find the prime factorization of 15194

15194 = 2 x 71 x 107

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 = 115459206 = 2 x 3 x 17 x 71 x 107 x 149

Step 4: Therefore, the least common multiple of 15194 and 15198 is 115459206.