Least Common Multiple of 17217 and 17225

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 17225 the smallest integer that is 296562825 that is divisible by both numbers.

Least Common Multiple (LCM) of 17217 and 17225 is 296562825.

LCM(17217,17225) = 296562825

LCM of 17217 and 17225

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

LCM of:
and

Least Common Multiple of 17217 and 17225

LCM of 17217 and 17225 is 296562825

Least common multiple can be found by multiplying the highest exponent prime factors of 17217 and 17225. First we will calculate the prime factors of 17217 and 17225.

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 17225


5 17225
5 3445
13 689
53 53
1

Prime factors of 17225 are 5, 13,53. Prime factorization of 17225 in exponential form is:

17225 = 52×131×531

Now multiplying the highest exponent prime factors to calculate the LCM of 17217 and 17225.

LCM(17217,17225) = 32×52×131×531×19131
LCM(17217,17225) = 296562825

Factors of 17217

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

1, 3, 9, 1913, 5739, 17217

Factors of 17225

List of positive integer factors of 17225 that divides 17225 without a remainder.

1, 5, 13, 25, 53, 65, 265, 325, 689, 1325, 3445, 17225

Least Common Multiple of 17217 and 17225 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 17225, than apply into the LCM equation.

GCF(17217,17225) = 1
LCM(17217,17225) = ( 17217 × 17225) / 1
LCM(17217,17225) = 296562825 / 1
LCM(17217,17225) = 296562825

Properties of LCM 17217 and 17225

(i) The LCM of 17225 and 17217 is associative

LCM of 17217 and 17225 = LCM of 17225 and 17217

Related Least Common Multiples of 17217

Related Least Common Multiples of 17225

Frequently Asked Questions on LCM of 17217 and 17225

1. What is the LCM of 17217 and 17225?

Answer: LCM of 17217 and 17225 is 296562825.

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 17225?

Answer: Factors of 17225 are 1, 5, 13, 25, 53, 65, 265, 325, 689, 1325, 3445, 17225. There are 12 integers that are factors of 17225. The greatest factor of 17225 is 17225.

4. How to Find the LCM of 17217 and 17225?

Answer:

Least Common Multiple of 17217 and 17225 = 296562825

Step 1: Find the prime factorization of 17217

17217 = 3 x 3 x 1913

Step 2: Find the prime factorization of 17225

17225 = 5 x 5 x 13 x 53

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

LCM = 296562825 = 3 x 3 x 5 x 5 x 13 x 53 x 1913

Step 4: Therefore, the least common multiple of 17217 and 17225 is 296562825.