Least Common Multiple of 17230 and 17234

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 17234 the smallest integer that is 148470910 that is divisible by both numbers.

Least Common Multiple (LCM) of 17230 and 17234 is 148470910.

LCM(17230,17234) = 148470910

LCM of 17230 and 17234

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

LCM of:
and

Least Common Multiple of 17230 and 17234

LCM of 17230 and 17234 is 148470910

Least common multiple can be found by multiplying the highest exponent prime factors of 17230 and 17234. First we will calculate the prime factors of 17230 and 17234.

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 17234


2 17234
7 8617
1231 1231
1

Prime factors of 17234 are 2, 7,1231. Prime factorization of 17234 in exponential form is:

17234 = 21×71×12311

Now multiplying the highest exponent prime factors to calculate the LCM of 17230 and 17234.

LCM(17230,17234) = 21×51×71×12311×17231
LCM(17230,17234) = 148470910

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 17234

List of positive integer factors of 17234 that divides 17234 without a remainder.

1, 2, 7, 14, 1231, 2462, 8617, 17234

Least Common Multiple of 17230 and 17234 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 17234, than apply into the LCM equation.

GCF(17230,17234) = 2
LCM(17230,17234) = ( 17230 × 17234) / 2
LCM(17230,17234) = 296941820 / 2
LCM(17230,17234) = 148470910

Properties of LCM 17230 and 17234

(i) The LCM of 17234 and 17230 is associative

LCM of 17230 and 17234 = LCM of 17234 and 17230

Related Least Common Multiples of 17230

Related Least Common Multiples of 17234

Frequently Asked Questions on LCM of 17230 and 17234

1. What is the LCM of 17230 and 17234?

Answer: LCM of 17230 and 17234 is 148470910.

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 17234?

Answer: Factors of 17234 are 1, 2, 7, 14, 1231, 2462, 8617, 17234. There are 8 integers that are factors of 17234. The greatest factor of 17234 is 17234.

4. How to Find the LCM of 17230 and 17234?

Answer:

Least Common Multiple of 17230 and 17234 = 148470910

Step 1: Find the prime factorization of 17230

17230 = 2 x 5 x 1723

Step 2: Find the prime factorization of 17234

17234 = 2 x 7 x 1231

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

LCM = 148470910 = 2 x 5 x 7 x 1231 x 1723

Step 4: Therefore, the least common multiple of 17230 and 17234 is 148470910.