Least Common Multiple of 13359 and 13366

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

• Least Common Multiple of 13359 and 13366 by Prime method
• Least Common Multiple of 13359 and 13366 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 13359 and 13366. First we will calculate the prime factors of 13359 and 13366.

Prime Factorization of 13359

Prime factors of 13359 are 3, 61,73. Prime factorization of 13359 in exponential form is:

13359 = 3¹×61¹×73¹

Prime Factorization of 13366

Prime factors of 13366 are 2, 41,163. Prime factorization of 13366 in exponential form is:

13366 = 2¹×41¹×163¹

Now multiplying the highest exponent prime factors to calculate the LCM of 13359 and 13366.

LCM(13359,13366) = 2¹×3¹×41¹×61¹×73¹×163¹
LCM(13359,13366) = 178556394

Factors of 13359

List of positive integer factors of 13359 that divides 13359 without a remainder.

1, 3, 61, 73, 183, 219, 4453, 13359

Factors of 13366

List of positive integer factors of 13366 that divides 13366 without a remainder.

1, 2, 41, 82, 163, 326, 6683, 13366

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13359 and 13366, than apply into the LCM equation.

GCF(13359,13366) = 1
LCM(13359,13366) = ( 13359 × 13366) / 1
LCM(13359,13366) = 178556394 / 1
LCM(13359,13366) = 178556394

(i) The LCM of 13366 and 13359 is associative

LCM of 13359 and 13366 = LCM of 13366 and 13359

1. What is the LCM of 13359 and 13366?

Answer: LCM of 13359 and 13366 is 178556394.

2. What are the Factors of 13359?

Answer: Factors of 13359 are 1, 3, 61, 73, 183, 219, 4453, 13359. There are 8 integers that are factors of 13359. The greatest factor of 13359 is 13359.

3. What are the Factors of 13366?

Answer: Factors of 13366 are 1, 2, 41, 82, 163, 326, 6683, 13366. There are 8 integers that are factors of 13366. The greatest factor of 13366 is 13366.

4. How to Find the LCM of 13359 and 13366?

Answer:

Least Common Multiple of 13359 and 13366 = 178556394

Step 1: Find the prime factorization of 13359

13359 = 3 x 61 x 73

Step 2: Find the prime factorization of 13366

13366 = 2 x 41 x 163

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

LCM = 178556394 = 2 x 3 x 41 x 61 x 73 x 163

Step 4: Therefore, the least common multiple of 13359 and 13366 is 178556394.