Least Common Multiple of 17297 and 17305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17297 and 17305 the smallest integer that is 299324585 that is divisible by both numbers.

Least Common Multiple (LCM) of 17297 and 17305 is 299324585.

LCM(17297,17305) = 299324585

LCM of 17297 and 17305

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

LCM of:
and

Least Common Multiple of 17297 and 17305

LCM of 17297 and 17305 is 299324585

Least common multiple can be found by multiplying the highest exponent prime factors of 17297 and 17305. First we will calculate the prime factors of 17297 and 17305.

Prime Factorization of 17297


7 17297
7 2471
353 353
1

Prime factors of 17297 are 7,353. Prime factorization of 17297 in exponential form is:

17297 = 72×3531

Prime Factorization of 17305


5 17305
3461 3461
1

Prime factors of 17305 are 5,3461. Prime factorization of 17305 in exponential form is:

17305 = 51×34611

Now multiplying the highest exponent prime factors to calculate the LCM of 17297 and 17305.

LCM(17297,17305) = 51×72×3531×34611
LCM(17297,17305) = 299324585

Factors of 17297

List of positive integer factors of 17297 that divides 17297 without a remainder.

1, 7, 49, 353, 2471, 17297

Factors of 17305

List of positive integer factors of 17305 that divides 17305 without a remainder.

1, 5, 3461, 17305

Least Common Multiple of 17297 and 17305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17297 and 17305, than apply into the LCM equation.

GCF(17297,17305) = 1
LCM(17297,17305) = ( 17297 × 17305) / 1
LCM(17297,17305) = 299324585 / 1
LCM(17297,17305) = 299324585

Properties of LCM 17297 and 17305

(i) The LCM of 17305 and 17297 is associative

LCM of 17297 and 17305 = LCM of 17305 and 17297

Related Least Common Multiples of 17297

Related Least Common Multiples of 17305

Frequently Asked Questions on LCM of 17297 and 17305

1. What is the LCM of 17297 and 17305?

Answer: LCM of 17297 and 17305 is 299324585.

2. What are the Factors of 17297?

Answer: Factors of 17297 are 1, 7, 49, 353, 2471, 17297. There are 6 integers that are factors of 17297. The greatest factor of 17297 is 17297.

3. What are the Factors of 17305?

Answer: Factors of 17305 are 1, 5, 3461, 17305. There are 4 integers that are factors of 17305. The greatest factor of 17305 is 17305.

4. How to Find the LCM of 17297 and 17305?

Answer:

Least Common Multiple of 17297 and 17305 = 299324585

Step 1: Find the prime factorization of 17297

17297 = 7 x 7 x 353

Step 2: Find the prime factorization of 17305

17305 = 5 x 3461

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

LCM = 299324585 = 5 x 7 x 7 x 353 x 3461

Step 4: Therefore, the least common multiple of 17297 and 17305 is 299324585.