Least Common Multiple of 17315 and 17322

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 17322 the smallest integer that is 299930430 that is divisible by both numbers.

Least Common Multiple (LCM) of 17315 and 17322 is 299930430.

LCM(17315,17322) = 299930430

LCM of 17315 and 17322

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

LCM of:
and

Least Common Multiple of 17315 and 17322

LCM of 17315 and 17322 is 299930430

Least common multiple can be found by multiplying the highest exponent prime factors of 17315 and 17322. First we will calculate the prime factors of 17315 and 17322.

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 17322


2 17322
3 8661
2887 2887
1

Prime factors of 17322 are 2, 3,2887. Prime factorization of 17322 in exponential form is:

17322 = 21×31×28871

Now multiplying the highest exponent prime factors to calculate the LCM of 17315 and 17322.

LCM(17315,17322) = 21×31×51×28871×34631
LCM(17315,17322) = 299930430

Factors of 17315

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

1, 5, 3463, 17315

Factors of 17322

List of positive integer factors of 17322 that divides 17322 without a remainder.

1, 2, 3, 6, 2887, 5774, 8661, 17322

Least Common Multiple of 17315 and 17322 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 17322, than apply into the LCM equation.

GCF(17315,17322) = 1
LCM(17315,17322) = ( 17315 × 17322) / 1
LCM(17315,17322) = 299930430 / 1
LCM(17315,17322) = 299930430

Properties of LCM 17315 and 17322

(i) The LCM of 17322 and 17315 is associative

LCM of 17315 and 17322 = LCM of 17322 and 17315

Related Least Common Multiples of 17315

Related Least Common Multiples of 17322

Frequently Asked Questions on LCM of 17315 and 17322

1. What is the LCM of 17315 and 17322?

Answer: LCM of 17315 and 17322 is 299930430.

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 17322?

Answer: Factors of 17322 are 1, 2, 3, 6, 2887, 5774, 8661, 17322. There are 8 integers that are factors of 17322. The greatest factor of 17322 is 17322.

4. How to Find the LCM of 17315 and 17322?

Answer:

Least Common Multiple of 17315 and 17322 = 299930430

Step 1: Find the prime factorization of 17315

17315 = 5 x 3463

Step 2: Find the prime factorization of 17322

17322 = 2 x 3 x 2887

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

LCM = 299930430 = 2 x 3 x 5 x 2887 x 3463

Step 4: Therefore, the least common multiple of 17315 and 17322 is 299930430.