Least Common Multiple of 34210 and 34217

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

• Least Common Multiple of 34210 and 34217 by Prime method
• Least Common Multiple of 34210 and 34217 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34210 and 34217. First we will calculate the prime factors of 34210 and 34217.

Prime Factorization of 34210

Prime factors of 34210 are 2, 5, 11,311. Prime factorization of 34210 in exponential form is:

34210 = 2¹×5¹×11¹×311¹

Prime Factorization of 34217

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

34217 = 34217¹

Now multiplying the highest exponent prime factors to calculate the LCM of 34210 and 34217.

LCM(34210,34217) = 2¹×5¹×11¹×311¹×34217¹
LCM(34210,34217) = 1170563570

Factors of 34210

List of positive integer factors of 34210 that divides 34210 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 311, 622, 1555, 3110, 3421, 6842, 17105, 34210

Factors of 34217

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

1, 34217

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34210 and 34217, than apply into the LCM equation.

GCF(34210,34217) = 1
LCM(34210,34217) = ( 34210 × 34217) / 1
LCM(34210,34217) = 1170563570 / 1
LCM(34210,34217) = 1170563570

(i) The LCM of 34217 and 34210 is associative

LCM of 34210 and 34217 = LCM of 34217 and 34210

1. What is the LCM of 34210 and 34217?

Answer: LCM of 34210 and 34217 is 1170563570.

2. What are the Factors of 34210?

Answer: Factors of 34210 are 1, 2, 5, 10, 11, 22, 55, 110, 311, 622, 1555, 3110, 3421, 6842, 17105, 34210. There are 16 integers that are factors of 34210. The greatest factor of 34210 is 34210.

3. 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.

4. How to Find the LCM of 34210 and 34217?

Answer:

Least Common Multiple of 34210 and 34217 = 1170563570

Step 1: Find the prime factorization of 34210

34210 = 2 x 5 x 11 x 311

Step 2: Find the prime factorization of 34217

34217 = 34217

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

LCM = 1170563570 = 2 x 5 x 11 x 311 x 34217

Step 4: Therefore, the least common multiple of 34210 and 34217 is 1170563570.