Least Common Multiple of 17279 and 17286

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

• Least Common Multiple of 17279 and 17286 by Prime method
• Least Common Multiple of 17279 and 17286 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 17279 and 17286. First we will calculate the prime factors of 17279 and 17286.

Prime Factorization of 17279

Prime factors of 17279 are 37,467. Prime factorization of 17279 in exponential form is:

17279 = 37¹×467¹

Prime Factorization of 17286

Prime factors of 17286 are 2, 3, 43,67. Prime factorization of 17286 in exponential form is:

17286 = 2¹×3¹×43¹×67¹

Now multiplying the highest exponent prime factors to calculate the LCM of 17279 and 17286.

LCM(17279,17286) = 2¹×3¹×37¹×43¹×67¹×467¹
LCM(17279,17286) = 298684794

Factors of 17279

List of positive integer factors of 17279 that divides 17279 without a remainder.

1, 37, 467, 17279

Factors of 17286

List of positive integer factors of 17286 that divides 17286 without a remainder.

1, 2, 3, 6, 43, 67, 86, 129, 134, 201, 258, 402, 2881, 5762, 8643, 17286

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17279 and 17286, than apply into the LCM equation.

GCF(17279,17286) = 1
LCM(17279,17286) = ( 17279 × 17286) / 1
LCM(17279,17286) = 298684794 / 1
LCM(17279,17286) = 298684794

(i) The LCM of 17286 and 17279 is associative

LCM of 17279 and 17286 = LCM of 17286 and 17279

1. What is the LCM of 17279 and 17286?

Answer: LCM of 17279 and 17286 is 298684794.

2. What are the Factors of 17279?

Answer: Factors of 17279 are 1, 37, 467, 17279. There are 4 integers that are factors of 17279. The greatest factor of 17279 is 17279.

3. What are the Factors of 17286?

Answer: Factors of 17286 are 1, 2, 3, 6, 43, 67, 86, 129, 134, 201, 258, 402, 2881, 5762, 8643, 17286. There are 16 integers that are factors of 17286. The greatest factor of 17286 is 17286.

4. How to Find the LCM of 17279 and 17286?

Answer:

Least Common Multiple of 17279 and 17286 = 298684794

Step 1: Find the prime factorization of 17279

17279 = 37 x 467

Step 2: Find the prime factorization of 17286

17286 = 2 x 3 x 43 x 67

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

LCM = 298684794 = 2 x 3 x 37 x 43 x 67 x 467

Step 4: Therefore, the least common multiple of 17279 and 17286 is 298684794.