Least Common Multiple of 17297 and 17303

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 17303 the smallest integer that is 299289991 that is divisible by both numbers.

Least Common Multiple (LCM) of 17297 and 17303 is 299289991.

LCM(17297,17303) = 299289991

LCM of 17297 and 17303

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

LCM of:
and

Least Common Multiple of 17297 and 17303

LCM of 17297 and 17303 is 299289991

Least common multiple can be found by multiplying the highest exponent prime factors of 17297 and 17303. First we will calculate the prime factors of 17297 and 17303.

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 17303


11 17303
11 1573
11 143
13 13
1

Prime factors of 17303 are 11,13. Prime factorization of 17303 in exponential form is:

17303 = 113×131

Now multiplying the highest exponent prime factors to calculate the LCM of 17297 and 17303.

LCM(17297,17303) = 72×113×131×3531
LCM(17297,17303) = 299289991

Factors of 17297

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

1, 7, 49, 353, 2471, 17297

Factors of 17303

List of positive integer factors of 17303 that divides 17303 without a remainder.

1, 11, 13, 121, 143, 1331, 1573, 17303

Least Common Multiple of 17297 and 17303 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 17303, than apply into the LCM equation.

GCF(17297,17303) = 1
LCM(17297,17303) = ( 17297 × 17303) / 1
LCM(17297,17303) = 299289991 / 1
LCM(17297,17303) = 299289991

Properties of LCM 17297 and 17303

(i) The LCM of 17303 and 17297 is associative

LCM of 17297 and 17303 = LCM of 17303 and 17297

Related Least Common Multiples of 17297

Related Least Common Multiples of 17303

Frequently Asked Questions on LCM of 17297 and 17303

1. What is the LCM of 17297 and 17303?

Answer: LCM of 17297 and 17303 is 299289991.

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 17303?

Answer: Factors of 17303 are 1, 11, 13, 121, 143, 1331, 1573, 17303. There are 8 integers that are factors of 17303. The greatest factor of 17303 is 17303.

4. How to Find the LCM of 17297 and 17303?

Answer:

Least Common Multiple of 17297 and 17303 = 299289991

Step 1: Find the prime factorization of 17297

17297 = 7 x 7 x 353

Step 2: Find the prime factorization of 17303

17303 = 11 x 11 x 11 x 13

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

LCM = 299289991 = 7 x 7 x 11 x 11 x 11 x 13 x 353

Step 4: Therefore, the least common multiple of 17297 and 17303 is 299289991.