Least Common Multiple of 17201 and 17206

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

• Least Common Multiple of 17201 and 17206 by Prime method
• Least Common Multiple of 17201 and 17206 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 17201 and 17206. First we will calculate the prime factors of 17201 and 17206.

Prime Factorization of 17201

Prime factors of 17201 are 103,167. Prime factorization of 17201 in exponential form is:

17201 = 103¹×167¹

Prime Factorization of 17206

Prime factors of 17206 are 2, 7,1229. Prime factorization of 17206 in exponential form is:

17206 = 2¹×7¹×1229¹

Now multiplying the highest exponent prime factors to calculate the LCM of 17201 and 17206.

LCM(17201,17206) = 2¹×7¹×103¹×167¹×1229¹
LCM(17201,17206) = 295960406

Factors of 17201

List of positive integer factors of 17201 that divides 17201 without a remainder.

1, 103, 167, 17201

Factors of 17206

List of positive integer factors of 17206 that divides 17206 without a remainder.

1, 2, 7, 14, 1229, 2458, 8603, 17206

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17201 and 17206, than apply into the LCM equation.

GCF(17201,17206) = 1
LCM(17201,17206) = ( 17201 × 17206) / 1
LCM(17201,17206) = 295960406 / 1
LCM(17201,17206) = 295960406

(i) The LCM of 17206 and 17201 is associative

LCM of 17201 and 17206 = LCM of 17206 and 17201

1. What is the LCM of 17201 and 17206?

Answer: LCM of 17201 and 17206 is 295960406.

2. What are the Factors of 17201?

Answer: Factors of 17201 are 1, 103, 167, 17201. There are 4 integers that are factors of 17201. The greatest factor of 17201 is 17201.

3. What are the Factors of 17206?

Answer: Factors of 17206 are 1, 2, 7, 14, 1229, 2458, 8603, 17206. There are 8 integers that are factors of 17206. The greatest factor of 17206 is 17206.

4. How to Find the LCM of 17201 and 17206?

Answer:

Least Common Multiple of 17201 and 17206 = 295960406

Step 1: Find the prime factorization of 17201

17201 = 103 x 167

Step 2: Find the prime factorization of 17206

17206 = 2 x 7 x 1229

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

LCM = 295960406 = 2 x 7 x 103 x 167 x 1229

Step 4: Therefore, the least common multiple of 17201 and 17206 is 295960406.