Least Common Multiple of 16226 and 16231

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

• Least Common Multiple of 16226 and 16231 by Prime method
• Least Common Multiple of 16226 and 16231 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 16226 and 16231. First we will calculate the prime factors of 16226 and 16231.

Prime Factorization of 16226

Prime factors of 16226 are 2, 7, 19,61. Prime factorization of 16226 in exponential form is:

16226 = 2¹×7¹×19¹×61¹

Prime Factorization of 16231

Prime factors of 16231 are 16231. Prime factorization of 16231 in exponential form is:

16231 = 16231¹

Now multiplying the highest exponent prime factors to calculate the LCM of 16226 and 16231.

LCM(16226,16231) = 2¹×7¹×19¹×61¹×16231¹
LCM(16226,16231) = 263364206

Factors of 16226

List of positive integer factors of 16226 that divides 16226 without a remainder.

1, 2, 7, 14, 19, 38, 61, 122, 133, 266, 427, 854, 1159, 2318, 8113, 16226

Factors of 16231

List of positive integer factors of 16231 that divides 16231 without a remainder.

1, 16231

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16226 and 16231, than apply into the LCM equation.

GCF(16226,16231) = 1
LCM(16226,16231) = ( 16226 × 16231) / 1
LCM(16226,16231) = 263364206 / 1
LCM(16226,16231) = 263364206

(i) The LCM of 16231 and 16226 is associative

LCM of 16226 and 16231 = LCM of 16231 and 16226

1. What is the LCM of 16226 and 16231?

Answer: LCM of 16226 and 16231 is 263364206.

2. What are the Factors of 16226?

Answer: Factors of 16226 are 1, 2, 7, 14, 19, 38, 61, 122, 133, 266, 427, 854, 1159, 2318, 8113, 16226. There are 16 integers that are factors of 16226. The greatest factor of 16226 is 16226.

3. What are the Factors of 16231?

Answer: Factors of 16231 are 1, 16231. There are 2 integers that are factors of 16231. The greatest factor of 16231 is 16231.

4. How to Find the LCM of 16226 and 16231?

Answer:

Least Common Multiple of 16226 and 16231 = 263364206

Step 1: Find the prime factorization of 16226

16226 = 2 x 7 x 19 x 61

Step 2: Find the prime factorization of 16231

16231 = 16231

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

LCM = 263364206 = 2 x 7 x 19 x 61 x 16231

Step 4: Therefore, the least common multiple of 16226 and 16231 is 263364206.