Least Common Multiple of 17290 and 17296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17290 and 17296 the smallest integer that is 149523920 that is divisible by both numbers.

Least Common Multiple (LCM) of 17290 and 17296 is 149523920.

LCM(17290,17296) = 149523920

LCM of 17290 and 17296

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

LCM of:
and

Least Common Multiple of 17290 and 17296

LCM of 17290 and 17296 is 149523920

Least common multiple can be found by multiplying the highest exponent prime factors of 17290 and 17296. First we will calculate the prime factors of 17290 and 17296.

Prime Factorization of 17290


2 17290
5 8645
7 1729
13 247
19 19
1

Prime factors of 17290 are 2, 5, 7, 13,19. Prime factorization of 17290 in exponential form is:

17290 = 21×51×71×131×191

Prime Factorization of 17296


2 17296
2 8648
2 4324
2 2162
23 1081
47 47
1

Prime factors of 17296 are 2, 23,47. Prime factorization of 17296 in exponential form is:

17296 = 24×231×471

Now multiplying the highest exponent prime factors to calculate the LCM of 17290 and 17296.

LCM(17290,17296) = 24×51×71×131×191×231×471
LCM(17290,17296) = 149523920

Factors of 17290

List of positive integer factors of 17290 that divides 17290 without a remainder.

1, 2, 5, 7, 10, 13, 14, 19, 26, 35, 38, 65, 70, 91, 95, 130, 133, 182, 190, 247, 266, 455, 494, 665, 910, 1235, 1330, 1729, 2470, 3458, 8645, 17290

Factors of 17296

List of positive integer factors of 17296 that divides 17296 without a remainder.

1, 2, 4, 8, 16, 23, 46, 47, 92, 94, 184, 188, 368, 376, 752, 1081, 2162, 4324, 8648, 17296

Least Common Multiple of 17290 and 17296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17290 and 17296, than apply into the LCM equation.

GCF(17290,17296) = 2
LCM(17290,17296) = ( 17290 × 17296) / 2
LCM(17290,17296) = 299047840 / 2
LCM(17290,17296) = 149523920

Properties of LCM 17290 and 17296

(i) The LCM of 17296 and 17290 is associative

LCM of 17290 and 17296 = LCM of 17296 and 17290

Related Least Common Multiples of 17290

Related Least Common Multiples of 17296

Frequently Asked Questions on LCM of 17290 and 17296

1. What is the LCM of 17290 and 17296?

Answer: LCM of 17290 and 17296 is 149523920.

2. What are the Factors of 17290?

Answer: Factors of 17290 are 1, 2, 5, 7, 10, 13, 14, 19, 26, 35, 38, 65, 70, 91, 95, 130, 133, 182, 190, 247, 266, 455, 494, 665, 910, 1235, 1330, 1729, 2470, 3458, 8645, 17290. There are 32 integers that are factors of 17290. The greatest factor of 17290 is 17290.

3. What are the Factors of 17296?

Answer: Factors of 17296 are 1, 2, 4, 8, 16, 23, 46, 47, 92, 94, 184, 188, 368, 376, 752, 1081, 2162, 4324, 8648, 17296. There are 20 integers that are factors of 17296. The greatest factor of 17296 is 17296.

4. How to Find the LCM of 17290 and 17296?

Answer:

Least Common Multiple of 17290 and 17296 = 149523920

Step 1: Find the prime factorization of 17290

17290 = 2 x 5 x 7 x 13 x 19

Step 2: Find the prime factorization of 17296

17296 = 2 x 2 x 2 x 2 x 23 x 47

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

LCM = 149523920 = 2 x 2 x 2 x 2 x 5 x 7 x 13 x 19 x 23 x 47

Step 4: Therefore, the least common multiple of 17290 and 17296 is 149523920.