Least Common Multiple of 17311 and 17315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17311 and 17315 the smallest integer that is 299739965 that is divisible by both numbers.

Least Common Multiple (LCM) of 17311 and 17315 is 299739965.

LCM(17311,17315) = 299739965

LCM of 17311 and 17315

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

LCM of:
and

Least Common Multiple of 17311 and 17315

LCM of 17311 and 17315 is 299739965

Least common multiple can be found by multiplying the highest exponent prime factors of 17311 and 17315. First we will calculate the prime factors of 17311 and 17315.

Prime Factorization of 17311


7 17311
2473 2473
1

Prime factors of 17311 are 7,2473. Prime factorization of 17311 in exponential form is:

17311 = 71×24731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 17311 and 17315.

LCM(17311,17315) = 51×71×24731×34631
LCM(17311,17315) = 299739965

Factors of 17311

List of positive integer factors of 17311 that divides 17311 without a remainder.

1, 7, 2473, 17311

Factors of 17315

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

1, 5, 3463, 17315

Least Common Multiple of 17311 and 17315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17311 and 17315, than apply into the LCM equation.

GCF(17311,17315) = 1
LCM(17311,17315) = ( 17311 × 17315) / 1
LCM(17311,17315) = 299739965 / 1
LCM(17311,17315) = 299739965

Properties of LCM 17311 and 17315

(i) The LCM of 17315 and 17311 is associative

LCM of 17311 and 17315 = LCM of 17315 and 17311

Related Least Common Multiples of 17311

Related Least Common Multiples of 17315

Frequently Asked Questions on LCM of 17311 and 17315

1. What is the LCM of 17311 and 17315?

Answer: LCM of 17311 and 17315 is 299739965.

2. What are the Factors of 17311?

Answer: Factors of 17311 are 1, 7, 2473, 17311. There are 4 integers that are factors of 17311. The greatest factor of 17311 is 17311.

3. 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.

4. How to Find the LCM of 17311 and 17315?

Answer:

Least Common Multiple of 17311 and 17315 = 299739965

Step 1: Find the prime factorization of 17311

17311 = 7 x 2473

Step 2: Find the prime factorization of 17315

17315 = 5 x 3463

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

LCM = 299739965 = 5 x 7 x 2473 x 3463

Step 4: Therefore, the least common multiple of 17311 and 17315 is 299739965.