Least Common Multiple of 13161 and 13165

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

• Least Common Multiple of 13161 and 13165 by Prime method
• Least Common Multiple of 13161 and 13165 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 13161 and 13165. First we will calculate the prime factors of 13161 and 13165.

Prime Factorization of 13161

Prime factors of 13161 are 3, 41,107. Prime factorization of 13161 in exponential form is:

13161 = 3¹×41¹×107¹

Prime Factorization of 13165

Prime factors of 13165 are 5,2633. Prime factorization of 13165 in exponential form is:

13165 = 5¹×2633¹

Now multiplying the highest exponent prime factors to calculate the LCM of 13161 and 13165.

LCM(13161,13165) = 3¹×5¹×41¹×107¹×2633¹
LCM(13161,13165) = 173264565

Factors of 13161

List of positive integer factors of 13161 that divides 13161 without a remainder.

1, 3, 41, 107, 123, 321, 4387, 13161

Factors of 13165

List of positive integer factors of 13165 that divides 13165 without a remainder.

1, 5, 2633, 13165

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13161 and 13165, than apply into the LCM equation.

GCF(13161,13165) = 1
LCM(13161,13165) = ( 13161 × 13165) / 1
LCM(13161,13165) = 173264565 / 1
LCM(13161,13165) = 173264565

(i) The LCM of 13165 and 13161 is associative

LCM of 13161 and 13165 = LCM of 13165 and 13161

1. What is the LCM of 13161 and 13165?

Answer: LCM of 13161 and 13165 is 173264565.

2. What are the Factors of 13161?

Answer: Factors of 13161 are 1, 3, 41, 107, 123, 321, 4387, 13161. There are 8 integers that are factors of 13161. The greatest factor of 13161 is 13161.

3. What are the Factors of 13165?

Answer: Factors of 13165 are 1, 5, 2633, 13165. There are 4 integers that are factors of 13165. The greatest factor of 13165 is 13165.

4. How to Find the LCM of 13161 and 13165?

Answer:

Least Common Multiple of 13161 and 13165 = 173264565

Step 1: Find the prime factorization of 13161

13161 = 3 x 41 x 107

Step 2: Find the prime factorization of 13165

13165 = 5 x 2633

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

LCM = 173264565 = 3 x 5 x 41 x 107 x 2633

Step 4: Therefore, the least common multiple of 13161 and 13165 is 173264565.