Least Common Multiple of 17230 and 17235

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 17235 the smallest integer that is 59391810 that is divisible by both numbers.

Least Common Multiple (LCM) of 17230 and 17235 is 59391810.

LCM(17230,17235) = 59391810

LCM of 17230 and 17235

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

LCM of:
and

Least Common Multiple of 17230 and 17235

LCM of 17230 and 17235 is 59391810

Least common multiple can be found by multiplying the highest exponent prime factors of 17230 and 17235. First we will calculate the prime factors of 17230 and 17235.

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 17235


3 17235
3 5745
5 1915
383 383
1

Prime factors of 17235 are 3, 5,383. Prime factorization of 17235 in exponential form is:

17235 = 32×51×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 17230 and 17235.

LCM(17230,17235) = 21×32×51×3831×17231
LCM(17230,17235) = 59391810

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 17235

List of positive integer factors of 17235 that divides 17235 without a remainder.

1, 3, 5, 9, 15, 45, 383, 1149, 1915, 3447, 5745, 17235

Least Common Multiple of 17230 and 17235 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 17235, than apply into the LCM equation.

GCF(17230,17235) = 5
LCM(17230,17235) = ( 17230 × 17235) / 5
LCM(17230,17235) = 296959050 / 5
LCM(17230,17235) = 59391810

Properties of LCM 17230 and 17235

(i) The LCM of 17235 and 17230 is associative

LCM of 17230 and 17235 = LCM of 17235 and 17230

Related Least Common Multiples of 17230

Related Least Common Multiples of 17235

Frequently Asked Questions on LCM of 17230 and 17235

1. What is the LCM of 17230 and 17235?

Answer: LCM of 17230 and 17235 is 59391810.

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 17235?

Answer: Factors of 17235 are 1, 3, 5, 9, 15, 45, 383, 1149, 1915, 3447, 5745, 17235. There are 12 integers that are factors of 17235. The greatest factor of 17235 is 17235.

4. How to Find the LCM of 17230 and 17235?

Answer:

Least Common Multiple of 17230 and 17235 = 59391810

Step 1: Find the prime factorization of 17230

17230 = 2 x 5 x 1723

Step 2: Find the prime factorization of 17235

17235 = 3 x 3 x 5 x 383

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

LCM = 59391810 = 2 x 3 x 3 x 5 x 383 x 1723

Step 4: Therefore, the least common multiple of 17230 and 17235 is 59391810.