Least Common Multiple of 10185 and 10189

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

• Least Common Multiple of 10185 and 10189 by Prime method
• Least Common Multiple of 10185 and 10189 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10185 and 10189. First we will calculate the prime factors of 10185 and 10189.

Prime Factorization of 10185

Prime factors of 10185 are 3, 5, 7,97. Prime factorization of 10185 in exponential form is:

10185 = 3¹×5¹×7¹×97¹

Prime Factorization of 10189

Prime factors of 10189 are 23,443. Prime factorization of 10189 in exponential form is:

10189 = 23¹×443¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10185 and 10189.

LCM(10185,10189) = 3¹×5¹×7¹×23¹×97¹×443¹
LCM(10185,10189) = 103774965

Factors of 10185

List of positive integer factors of 10185 that divides 10185 without a remainder.

1, 3, 5, 7, 15, 21, 35, 97, 105, 291, 485, 679, 1455, 2037, 3395, 10185

Factors of 10189

List of positive integer factors of 10189 that divides 10189 without a remainder.

1, 23, 443, 10189

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10185 and 10189, than apply into the LCM equation.

GCF(10185,10189) = 1
LCM(10185,10189) = ( 10185 × 10189) / 1
LCM(10185,10189) = 103774965 / 1
LCM(10185,10189) = 103774965

(i) The LCM of 10189 and 10185 is associative

LCM of 10185 and 10189 = LCM of 10189 and 10185

1. What is the LCM of 10185 and 10189?

Answer: LCM of 10185 and 10189 is 103774965.

2. What are the Factors of 10185?

Answer: Factors of 10185 are 1, 3, 5, 7, 15, 21, 35, 97, 105, 291, 485, 679, 1455, 2037, 3395, 10185. There are 16 integers that are factors of 10185. The greatest factor of 10185 is 10185.

3. What are the Factors of 10189?

Answer: Factors of 10189 are 1, 23, 443, 10189. There are 4 integers that are factors of 10189. The greatest factor of 10189 is 10189.

4. How to Find the LCM of 10185 and 10189?

Answer:

Least Common Multiple of 10185 and 10189 = 103774965

Step 1: Find the prime factorization of 10185

10185 = 3 x 5 x 7 x 97

Step 2: Find the prime factorization of 10189

10189 = 23 x 443

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

LCM = 103774965 = 3 x 5 x 7 x 23 x 97 x 443

Step 4: Therefore, the least common multiple of 10185 and 10189 is 103774965.