Least Common Multiple of 34217 and 34221

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

• Least Common Multiple of 34217 and 34221 by Prime method
• Least Common Multiple of 34217 and 34221 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34217 and 34221. First we will calculate the prime factors of 34217 and 34221.

Prime Factorization of 34217

Prime factors of 34217 are 34217. Prime factorization of 34217 in exponential form is:

34217 = 34217¹

Prime Factorization of 34221

Prime factors of 34221 are 3, 11, 17,61. Prime factorization of 34221 in exponential form is:

34221 = 3¹×11¹×17¹×61¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34217 and 34221.

LCM(34217,34221) = 3¹×11¹×17¹×61¹×34217¹
LCM(34217,34221) = 1170939957

Factors of 34217

List of positive integer factors of 34217 that divides 34217 without a remainder.

1, 34217

Factors of 34221

List of positive integer factors of 34221 that divides 34221 without a remainder.

1, 3, 11, 17, 33, 51, 61, 183, 187, 561, 671, 1037, 2013, 3111, 11407, 34221

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34217 and 34221, than apply into the LCM equation.

GCF(34217,34221) = 1
LCM(34217,34221) = ( 34217 × 34221) / 1
LCM(34217,34221) = 1170939957 / 1
LCM(34217,34221) = 1170939957

(i) The LCM of 34221 and 34217 is associative

LCM of 34217 and 34221 = LCM of 34221 and 34217

1. What is the LCM of 34217 and 34221?

Answer: LCM of 34217 and 34221 is 1170939957.

2. What are the Factors of 34217?

Answer: Factors of 34217 are 1, 34217. There are 2 integers that are factors of 34217. The greatest factor of 34217 is 34217.

3. What are the Factors of 34221?

Answer: Factors of 34221 are 1, 3, 11, 17, 33, 51, 61, 183, 187, 561, 671, 1037, 2013, 3111, 11407, 34221. There are 16 integers that are factors of 34221. The greatest factor of 34221 is 34221.

4. How to Find the LCM of 34217 and 34221?

Answer:

Least Common Multiple of 34217 and 34221 = 1170939957

Step 1: Find the prime factorization of 34217

34217 = 34217

Step 2: Find the prime factorization of 34221

34221 = 3 x 11 x 17 x 61

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

LCM = 1170939957 = 3 x 11 x 17 x 61 x 34217

Step 4: Therefore, the least common multiple of 34217 and 34221 is 1170939957.