Least Common Multiple of 13161 and 13166

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

• Least Common Multiple of 13161 and 13166 by Prime method
• Least Common Multiple of 13161 and 13166 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 13161 and 13166. First we will calculate the prime factors of 13161 and 13166.

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 13166

Prime factors of 13166 are 2, 29,227. Prime factorization of 13166 in exponential form is:

13166 = 2¹×29¹×227¹

Now multiplying the highest exponent prime factors to calculate the LCM of 13161 and 13166.

LCM(13161,13166) = 2¹×3¹×29¹×41¹×107¹×227¹
LCM(13161,13166) = 173277726

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 13166

List of positive integer factors of 13166 that divides 13166 without a remainder.

1, 2, 29, 58, 227, 454, 6583, 13166

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13161 and 13166, than apply into the LCM equation.

GCF(13161,13166) = 1
LCM(13161,13166) = ( 13161 × 13166) / 1
LCM(13161,13166) = 173277726 / 1
LCM(13161,13166) = 173277726

(i) The LCM of 13166 and 13161 is associative

LCM of 13161 and 13166 = LCM of 13166 and 13161

1. What is the LCM of 13161 and 13166?

Answer: LCM of 13161 and 13166 is 173277726.

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 13166?

Answer: Factors of 13166 are 1, 2, 29, 58, 227, 454, 6583, 13166. There are 8 integers that are factors of 13166. The greatest factor of 13166 is 13166.

4. How to Find the LCM of 13161 and 13166?

Answer:

Least Common Multiple of 13161 and 13166 = 173277726

Step 1: Find the prime factorization of 13161

13161 = 3 x 41 x 107

Step 2: Find the prime factorization of 13166

13166 = 2 x 29 x 227

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

LCM = 173277726 = 2 x 3 x 29 x 41 x 107 x 227

Step 4: Therefore, the least common multiple of 13161 and 13166 is 173277726.