Least Common Multiple of 17217 and 17224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17217 and 17224 the smallest integer that is 296545608 that is divisible by both numbers.

Least Common Multiple (LCM) of 17217 and 17224 is 296545608.

LCM(17217,17224) = 296545608

LCM of 17217 and 17224

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

LCM of:
and

Least Common Multiple of 17217 and 17224

LCM of 17217 and 17224 is 296545608

Least common multiple can be found by multiplying the highest exponent prime factors of 17217 and 17224. First we will calculate the prime factors of 17217 and 17224.

Prime Factorization of 17217


3 17217
3 5739
1913 1913
1

Prime factors of 17217 are 3,1913. Prime factorization of 17217 in exponential form is:

17217 = 32×19131

Prime Factorization of 17224


2 17224
2 8612
2 4306
2153 2153
1

Prime factors of 17224 are 2,2153. Prime factorization of 17224 in exponential form is:

17224 = 23×21531

Now multiplying the highest exponent prime factors to calculate the LCM of 17217 and 17224.

LCM(17217,17224) = 23×32×19131×21531
LCM(17217,17224) = 296545608

Factors of 17217

List of positive integer factors of 17217 that divides 17217 without a remainder.

1, 3, 9, 1913, 5739, 17217

Factors of 17224

List of positive integer factors of 17224 that divides 17224 without a remainder.

1, 2, 4, 8, 2153, 4306, 8612, 17224

Least Common Multiple of 17217 and 17224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17217 and 17224, than apply into the LCM equation.

GCF(17217,17224) = 1
LCM(17217,17224) = ( 17217 × 17224) / 1
LCM(17217,17224) = 296545608 / 1
LCM(17217,17224) = 296545608

Properties of LCM 17217 and 17224

(i) The LCM of 17224 and 17217 is associative

LCM of 17217 and 17224 = LCM of 17224 and 17217

Related Least Common Multiples of 17217

Related Least Common Multiples of 17224

Frequently Asked Questions on LCM of 17217 and 17224

1. What is the LCM of 17217 and 17224?

Answer: LCM of 17217 and 17224 is 296545608.

2. What are the Factors of 17217?

Answer: Factors of 17217 are 1, 3, 9, 1913, 5739, 17217. There are 6 integers that are factors of 17217. The greatest factor of 17217 is 17217.

3. What are the Factors of 17224?

Answer: Factors of 17224 are 1, 2, 4, 8, 2153, 4306, 8612, 17224. There are 8 integers that are factors of 17224. The greatest factor of 17224 is 17224.

4. How to Find the LCM of 17217 and 17224?

Answer:

Least Common Multiple of 17217 and 17224 = 296545608

Step 1: Find the prime factorization of 17217

17217 = 3 x 3 x 1913

Step 2: Find the prime factorization of 17224

17224 = 2 x 2 x 2 x 2153

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

LCM = 296545608 = 2 x 2 x 2 x 3 x 3 x 1913 x 2153

Step 4: Therefore, the least common multiple of 17217 and 17224 is 296545608.