Least Common Multiple of 17226 and 17230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 17226 and 17230 the smallest integer that is 148401990 that is divisible by both numbers.

Least Common Multiple (LCM) of 17226 and 17230 is 148401990.

LCM(17226,17230) = 148401990

LCM of 17226 and 17230

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

LCM of:
and

Least Common Multiple of 17226 and 17230

LCM of 17226 and 17230 is 148401990

Least common multiple can be found by multiplying the highest exponent prime factors of 17226 and 17230. First we will calculate the prime factors of 17226 and 17230.

Prime Factorization of 17226


2 17226
3 8613
3 2871
3 957
11 319
29 29
1

Prime factors of 17226 are 2, 3, 11,29. Prime factorization of 17226 in exponential form is:

17226 = 21×33×111×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 17226 and 17230.

LCM(17226,17230) = 21×33×51×111×291×17231
LCM(17226,17230) = 148401990

Factors of 17226

List of positive integer factors of 17226 that divides 17226 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 29, 33, 54, 58, 66, 87, 99, 174, 198, 261, 297, 319, 522, 594, 638, 783, 957, 1566, 1914, 2871, 5742, 8613, 17226

Factors of 17230

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

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

Least Common Multiple of 17226 and 17230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17226 and 17230, than apply into the LCM equation.

GCF(17226,17230) = 2
LCM(17226,17230) = ( 17226 × 17230) / 2
LCM(17226,17230) = 296803980 / 2
LCM(17226,17230) = 148401990

Properties of LCM 17226 and 17230

(i) The LCM of 17230 and 17226 is associative

LCM of 17226 and 17230 = LCM of 17230 and 17226

Related Least Common Multiples of 17226

Related Least Common Multiples of 17230

Frequently Asked Questions on LCM of 17226 and 17230

1. What is the LCM of 17226 and 17230?

Answer: LCM of 17226 and 17230 is 148401990.

2. What are the Factors of 17226?

Answer: Factors of 17226 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 29, 33, 54, 58, 66, 87, 99, 174, 198, 261, 297, 319, 522, 594, 638, 783, 957, 1566, 1914, 2871, 5742, 8613, 17226. There are 32 integers that are factors of 17226. The greatest factor of 17226 is 17226.

3. 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.

4. How to Find the LCM of 17226 and 17230?

Answer:

Least Common Multiple of 17226 and 17230 = 148401990

Step 1: Find the prime factorization of 17226

17226 = 2 x 3 x 3 x 3 x 11 x 29

Step 2: Find the prime factorization of 17230

17230 = 2 x 5 x 1723

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

LCM = 148401990 = 2 x 3 x 3 x 3 x 5 x 11 x 29 x 1723

Step 4: Therefore, the least common multiple of 17226 and 17230 is 148401990.