Least Common Multiple of 17315 and 17321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17315 and 17321 the smallest integer that is 299913115 that is divisible by both numbers.

Least Common Multiple (LCM) of 17315 and 17321 is 299913115.

LCM(17315,17321) = 299913115

LCM of 17315 and 17321

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

LCM of:
and

Least Common Multiple of 17315 and 17321

LCM of 17315 and 17321 is 299913115

Least common multiple can be found by multiplying the highest exponent prime factors of 17315 and 17321. First we will calculate the prime factors of 17315 and 17321.

Prime Factorization of 17315


5 17315
3463 3463
1

Prime factors of 17315 are 5,3463. Prime factorization of 17315 in exponential form is:

17315 = 51×34631

Prime Factorization of 17321


17321 17321
1

Prime factors of 17321 are 17321. Prime factorization of 17321 in exponential form is:

17321 = 173211

Now multiplying the highest exponent prime factors to calculate the LCM of 17315 and 17321.

LCM(17315,17321) = 51×34631×173211
LCM(17315,17321) = 299913115

Factors of 17315

List of positive integer factors of 17315 that divides 17315 without a remainder.

1, 5, 3463, 17315

Factors of 17321

List of positive integer factors of 17321 that divides 17321 without a remainder.

1, 17321

Least Common Multiple of 17315 and 17321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17315 and 17321, than apply into the LCM equation.

GCF(17315,17321) = 1
LCM(17315,17321) = ( 17315 × 17321) / 1
LCM(17315,17321) = 299913115 / 1
LCM(17315,17321) = 299913115

Properties of LCM 17315 and 17321

(i) The LCM of 17321 and 17315 is associative

LCM of 17315 and 17321 = LCM of 17321 and 17315

Related Least Common Multiples of 17315

Related Least Common Multiples of 17321

Frequently Asked Questions on LCM of 17315 and 17321

1. What is the LCM of 17315 and 17321?

Answer: LCM of 17315 and 17321 is 299913115.

2. What are the Factors of 17315?

Answer: Factors of 17315 are 1, 5, 3463, 17315. There are 4 integers that are factors of 17315. The greatest factor of 17315 is 17315.

3. What are the Factors of 17321?

Answer: Factors of 17321 are 1, 17321. There are 2 integers that are factors of 17321. The greatest factor of 17321 is 17321.

4. How to Find the LCM of 17315 and 17321?

Answer:

Least Common Multiple of 17315 and 17321 = 299913115

Step 1: Find the prime factorization of 17315

17315 = 5 x 3463

Step 2: Find the prime factorization of 17321

17321 = 17321

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

LCM = 299913115 = 5 x 3463 x 17321

Step 4: Therefore, the least common multiple of 17315 and 17321 is 299913115.