Least Common Multiple of 10165 and 10171

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

• Least Common Multiple of 10165 and 10171 by Prime method
• Least Common Multiple of 10165 and 10171 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 10165 and 10171. First we will calculate the prime factors of 10165 and 10171.

Prime Factorization of 10165

Prime factors of 10165 are 5, 19,107. Prime factorization of 10165 in exponential form is:

10165 = 5¹×19¹×107¹

Prime Factorization of 10171

Prime factors of 10171 are 7,1453. Prime factorization of 10171 in exponential form is:

10171 = 7¹×1453¹

Now multiplying the highest exponent prime factors to calculate the LCM of 10165 and 10171.

LCM(10165,10171) = 5¹×7¹×19¹×107¹×1453¹
LCM(10165,10171) = 103388215

Factors of 10165

List of positive integer factors of 10165 that divides 10165 without a remainder.

1, 5, 19, 95, 107, 535, 2033, 10165

Factors of 10171

List of positive integer factors of 10171 that divides 10171 without a remainder.

1, 7, 1453, 10171

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10165 and 10171, than apply into the LCM equation.

GCF(10165,10171) = 1
LCM(10165,10171) = ( 10165 × 10171) / 1
LCM(10165,10171) = 103388215 / 1
LCM(10165,10171) = 103388215

(i) The LCM of 10171 and 10165 is associative

LCM of 10165 and 10171 = LCM of 10171 and 10165

1. What is the LCM of 10165 and 10171?

Answer: LCM of 10165 and 10171 is 103388215.

2. What are the Factors of 10165?

Answer: Factors of 10165 are 1, 5, 19, 95, 107, 535, 2033, 10165. There are 8 integers that are factors of 10165. The greatest factor of 10165 is 10165.

3. What are the Factors of 10171?

Answer: Factors of 10171 are 1, 7, 1453, 10171. There are 4 integers that are factors of 10171. The greatest factor of 10171 is 10171.

4. How to Find the LCM of 10165 and 10171?

Answer:

Least Common Multiple of 10165 and 10171 = 103388215

Step 1: Find the prime factorization of 10165

10165 = 5 x 19 x 107

Step 2: Find the prime factorization of 10171

10171 = 7 x 1453

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

LCM = 103388215 = 5 x 7 x 19 x 107 x 1453

Step 4: Therefore, the least common multiple of 10165 and 10171 is 103388215.