Least Common Multiple of 16212 and 16217

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

• Least Common Multiple of 16212 and 16217 by Prime method
• Least Common Multiple of 16212 and 16217 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 16212 and 16217. First we will calculate the prime factors of 16212 and 16217.

Prime Factorization of 16212

Prime factors of 16212 are 2, 3, 7,193. Prime factorization of 16212 in exponential form is:

16212 = 2²×3¹×7¹×193¹

Prime Factorization of 16217

Prime factors of 16217 are 16217. Prime factorization of 16217 in exponential form is:

16217 = 16217¹

Now multiplying the highest exponent prime factors to calculate the LCM of 16212 and 16217.

LCM(16212,16217) = 2²×3¹×7¹×193¹×16217¹
LCM(16212,16217) = 262910004

Factors of 16212

List of positive integer factors of 16212 that divides 16212 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 193, 386, 579, 772, 1158, 1351, 2316, 2702, 4053, 5404, 8106, 16212

Factors of 16217

List of positive integer factors of 16217 that divides 16217 without a remainder.

1, 16217

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16212 and 16217, than apply into the LCM equation.

GCF(16212,16217) = 1
LCM(16212,16217) = ( 16212 × 16217) / 1
LCM(16212,16217) = 262910004 / 1
LCM(16212,16217) = 262910004

(i) The LCM of 16217 and 16212 is associative

LCM of 16212 and 16217 = LCM of 16217 and 16212

1. What is the LCM of 16212 and 16217?

Answer: LCM of 16212 and 16217 is 262910004.

2. What are the Factors of 16212?

Answer: Factors of 16212 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 193, 386, 579, 772, 1158, 1351, 2316, 2702, 4053, 5404, 8106, 16212. There are 24 integers that are factors of 16212. The greatest factor of 16212 is 16212.

3. What are the Factors of 16217?

Answer: Factors of 16217 are 1, 16217. There are 2 integers that are factors of 16217. The greatest factor of 16217 is 16217.

4. How to Find the LCM of 16212 and 16217?

Answer:

Least Common Multiple of 16212 and 16217 = 262910004

Step 1: Find the prime factorization of 16212

16212 = 2 x 2 x 3 x 7 x 193

Step 2: Find the prime factorization of 16217

16217 = 16217

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

LCM = 262910004 = 2 x 2 x 3 x 7 x 193 x 16217

Step 4: Therefore, the least common multiple of 16212 and 16217 is 262910004.