Least Common Multiple of 17230 and 17238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17230 and 17238 the smallest integer that is 148505370 that is divisible by both numbers.

Least Common Multiple (LCM) of 17230 and 17238 is 148505370.

LCM(17230,17238) = 148505370

LCM of 17230 and 17238

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

LCM of:
and

Least Common Multiple of 17230 and 17238

LCM of 17230 and 17238 is 148505370

Least common multiple can be found by multiplying the highest exponent prime factors of 17230 and 17238. First we will calculate the prime factors of 17230 and 17238.

Prime Factorization of 17230


2 17230
5 8615
1723 1723
1

Prime factors of 17230 are 2, 5,1723. Prime factorization of 17230 in exponential form is:

17230 = 21×51×17231

Prime Factorization of 17238


2 17238
3 8619
13 2873
13 221
17 17
1

Prime factors of 17238 are 2, 3, 13,17. Prime factorization of 17238 in exponential form is:

17238 = 21×31×132×171

Now multiplying the highest exponent prime factors to calculate the LCM of 17230 and 17238.

LCM(17230,17238) = 21×31×51×132×171×17231
LCM(17230,17238) = 148505370

Factors of 17230

List of positive integer factors of 17230 that divides 17230 without a remainder.

1, 2, 5, 10, 1723, 3446, 8615, 17230

Factors of 17238

List of positive integer factors of 17238 that divides 17238 without a remainder.

1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 169, 221, 338, 442, 507, 663, 1014, 1326, 2873, 5746, 8619, 17238

Least Common Multiple of 17230 and 17238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17230 and 17238, than apply into the LCM equation.

GCF(17230,17238) = 2
LCM(17230,17238) = ( 17230 × 17238) / 2
LCM(17230,17238) = 297010740 / 2
LCM(17230,17238) = 148505370

Properties of LCM 17230 and 17238

(i) The LCM of 17238 and 17230 is associative

LCM of 17230 and 17238 = LCM of 17238 and 17230

Related Least Common Multiples of 17230

Related Least Common Multiples of 17238

Frequently Asked Questions on LCM of 17230 and 17238

1. What is the LCM of 17230 and 17238?

Answer: LCM of 17230 and 17238 is 148505370.

2. What are the Factors of 17230?

Answer: Factors of 17230 are 1, 2, 5, 10, 1723, 3446, 8615, 17230. There are 8 integers that are factors of 17230. The greatest factor of 17230 is 17230.

3. What are the Factors of 17238?

Answer: Factors of 17238 are 1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 169, 221, 338, 442, 507, 663, 1014, 1326, 2873, 5746, 8619, 17238. There are 24 integers that are factors of 17238. The greatest factor of 17238 is 17238.

4. How to Find the LCM of 17230 and 17238?

Answer:

Least Common Multiple of 17230 and 17238 = 148505370

Step 1: Find the prime factorization of 17230

17230 = 2 x 5 x 1723

Step 2: Find the prime factorization of 17238

17238 = 2 x 3 x 13 x 13 x 17

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

LCM = 148505370 = 2 x 3 x 5 x 13 x 13 x 17 x 1723

Step 4: Therefore, the least common multiple of 17230 and 17238 is 148505370.