Least Common Multiple of 17290 and 17298

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 17298 the smallest integer that is 149541210 that is divisible by both numbers.

Least Common Multiple (LCM) of 17290 and 17298 is 149541210.

LCM(17290,17298) = 149541210

LCM of 17290 and 17298

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

LCM of:
and

Least Common Multiple of 17290 and 17298

LCM of 17290 and 17298 is 149541210

Least common multiple can be found by multiplying the highest exponent prime factors of 17290 and 17298. First we will calculate the prime factors of 17290 and 17298.

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 17298


2 17298
3 8649
3 2883
31 961
31 31
1

Prime factors of 17298 are 2, 3,31. Prime factorization of 17298 in exponential form is:

17298 = 21×32×312

Now multiplying the highest exponent prime factors to calculate the LCM of 17290 and 17298.

LCM(17290,17298) = 21×32×51×71×131×191×312
LCM(17290,17298) = 149541210

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 17298

List of positive integer factors of 17298 that divides 17298 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558, 961, 1922, 2883, 5766, 8649, 17298

Least Common Multiple of 17290 and 17298 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 17298, than apply into the LCM equation.

GCF(17290,17298) = 2
LCM(17290,17298) = ( 17290 × 17298) / 2
LCM(17290,17298) = 299082420 / 2
LCM(17290,17298) = 149541210

Properties of LCM 17290 and 17298

(i) The LCM of 17298 and 17290 is associative

LCM of 17290 and 17298 = LCM of 17298 and 17290

Related Least Common Multiples of 17290

Related Least Common Multiples of 17298

Frequently Asked Questions on LCM of 17290 and 17298

1. What is the LCM of 17290 and 17298?

Answer: LCM of 17290 and 17298 is 149541210.

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 17298?

Answer: Factors of 17298 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558, 961, 1922, 2883, 5766, 8649, 17298. There are 18 integers that are factors of 17298. The greatest factor of 17298 is 17298.

4. How to Find the LCM of 17290 and 17298?

Answer:

Least Common Multiple of 17290 and 17298 = 149541210

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 17298

17298 = 2 x 3 x 3 x 31 x 31

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

LCM = 149541210 = 2 x 3 x 3 x 5 x 7 x 13 x 19 x 31 x 31

Step 4: Therefore, the least common multiple of 17290 and 17298 is 149541210.