Least Common Multiple of 17209 and 17217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17209 and 17217 the smallest integer that is 296287353 that is divisible by both numbers.

Least Common Multiple (LCM) of 17209 and 17217 is 296287353.

LCM(17209,17217) = 296287353

LCM of 17209 and 17217

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

LCM of:
and

Least Common Multiple of 17209 and 17217

LCM of 17209 and 17217 is 296287353

Least common multiple can be found by multiplying the highest exponent prime factors of 17209 and 17217. First we will calculate the prime factors of 17209 and 17217.

Prime Factorization of 17209


17209 17209
1

Prime factors of 17209 are 17209. Prime factorization of 17209 in exponential form is:

17209 = 172091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 17209 and 17217.

LCM(17209,17217) = 32×19131×172091
LCM(17209,17217) = 296287353

Factors of 17209

List of positive integer factors of 17209 that divides 17209 without a remainder.

1, 17209

Factors of 17217

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

1, 3, 9, 1913, 5739, 17217

Least Common Multiple of 17209 and 17217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17209 and 17217, than apply into the LCM equation.

GCF(17209,17217) = 1
LCM(17209,17217) = ( 17209 × 17217) / 1
LCM(17209,17217) = 296287353 / 1
LCM(17209,17217) = 296287353

Properties of LCM 17209 and 17217

(i) The LCM of 17217 and 17209 is associative

LCM of 17209 and 17217 = LCM of 17217 and 17209

Related Least Common Multiples of 17209

Related Least Common Multiples of 17217

Frequently Asked Questions on LCM of 17209 and 17217

1. What is the LCM of 17209 and 17217?

Answer: LCM of 17209 and 17217 is 296287353.

2. What are the Factors of 17209?

Answer: Factors of 17209 are 1, 17209. There are 2 integers that are factors of 17209. The greatest factor of 17209 is 17209.

3. 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.

4. How to Find the LCM of 17209 and 17217?

Answer:

Least Common Multiple of 17209 and 17217 = 296287353

Step 1: Find the prime factorization of 17209

17209 = 17209

Step 2: Find the prime factorization of 17217

17217 = 3 x 3 x 1913

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

LCM = 296287353 = 3 x 3 x 1913 x 17209

Step 4: Therefore, the least common multiple of 17209 and 17217 is 296287353.