Least Common Multiple of 17240 and 17245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17240 and 17245 the smallest integer that is 59460760 that is divisible by both numbers.

Least Common Multiple (LCM) of 17240 and 17245 is 59460760.

LCM(17240,17245) = 59460760

LCM of 17240 and 17245

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

LCM of:
and

Least Common Multiple of 17240 and 17245

LCM of 17240 and 17245 is 59460760

Least common multiple can be found by multiplying the highest exponent prime factors of 17240 and 17245. First we will calculate the prime factors of 17240 and 17245.

Prime Factorization of 17240


2 17240
2 8620
2 4310
5 2155
431 431
1

Prime factors of 17240 are 2, 5,431. Prime factorization of 17240 in exponential form is:

17240 = 23×51×4311

Prime Factorization of 17245


5 17245
3449 3449
1

Prime factors of 17245 are 5,3449. Prime factorization of 17245 in exponential form is:

17245 = 51×34491

Now multiplying the highest exponent prime factors to calculate the LCM of 17240 and 17245.

LCM(17240,17245) = 23×51×4311×34491
LCM(17240,17245) = 59460760

Factors of 17240

List of positive integer factors of 17240 that divides 17240 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 431, 862, 1724, 2155, 3448, 4310, 8620, 17240

Factors of 17245

List of positive integer factors of 17245 that divides 17245 without a remainder.

1, 5, 3449, 17245

Least Common Multiple of 17240 and 17245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17240 and 17245, than apply into the LCM equation.

GCF(17240,17245) = 5
LCM(17240,17245) = ( 17240 × 17245) / 5
LCM(17240,17245) = 297303800 / 5
LCM(17240,17245) = 59460760

Properties of LCM 17240 and 17245

(i) The LCM of 17245 and 17240 is associative

LCM of 17240 and 17245 = LCM of 17245 and 17240

Related Least Common Multiples of 17240

Related Least Common Multiples of 17245

Frequently Asked Questions on LCM of 17240 and 17245

1. What is the LCM of 17240 and 17245?

Answer: LCM of 17240 and 17245 is 59460760.

2. What are the Factors of 17240?

Answer: Factors of 17240 are 1, 2, 4, 5, 8, 10, 20, 40, 431, 862, 1724, 2155, 3448, 4310, 8620, 17240. There are 16 integers that are factors of 17240. The greatest factor of 17240 is 17240.

3. What are the Factors of 17245?

Answer: Factors of 17245 are 1, 5, 3449, 17245. There are 4 integers that are factors of 17245. The greatest factor of 17245 is 17245.

4. How to Find the LCM of 17240 and 17245?

Answer:

Least Common Multiple of 17240 and 17245 = 59460760

Step 1: Find the prime factorization of 17240

17240 = 2 x 2 x 2 x 5 x 431

Step 2: Find the prime factorization of 17245

17245 = 5 x 3449

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

LCM = 59460760 = 2 x 2 x 2 x 5 x 431 x 3449

Step 4: Therefore, the least common multiple of 17240 and 17245 is 59460760.