Least Common Multiple of 10185 and 10193

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

• Least Common Multiple of 10185 and 10193 by Prime method
• Least Common Multiple of 10185 and 10193 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10185 and 10193. First we will calculate the prime factors of 10185 and 10193.

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 10193

Prime factors of 10193 are 10193. Prime factorization of 10193 in exponential form is:

10193 = 10193¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10185 and 10193.

LCM(10185,10193) = 3¹×5¹×7¹×97¹×10193¹
LCM(10185,10193) = 103815705

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 10193

List of positive integer factors of 10193 that divides 10193 without a remainder.

1, 10193

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10185 and 10193, than apply into the LCM equation.

GCF(10185,10193) = 1
LCM(10185,10193) = ( 10185 × 10193) / 1
LCM(10185,10193) = 103815705 / 1
LCM(10185,10193) = 103815705

(i) The LCM of 10193 and 10185 is associative

LCM of 10185 and 10193 = LCM of 10193 and 10185

1. What is the LCM of 10185 and 10193?

Answer: LCM of 10185 and 10193 is 103815705.

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 10193?

Answer: Factors of 10193 are 1, 10193. There are 2 integers that are factors of 10193. The greatest factor of 10193 is 10193.

4. How to Find the LCM of 10185 and 10193?

Answer:

Least Common Multiple of 10185 and 10193 = 103815705

Step 1: Find the prime factorization of 10185

10185 = 3 x 5 x 7 x 97

Step 2: Find the prime factorization of 10193

10193 = 10193

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

LCM = 103815705 = 3 x 5 x 7 x 97 x 10193

Step 4: Therefore, the least common multiple of 10185 and 10193 is 103815705.