Least Common Multiple of 17226 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 17226 and 17234 the smallest integer that is 148436442 that is divisible by both numbers.

Least Common Multiple (LCM) of 17226 and 17234 is 148436442.

LCM(17226,17234) = 148436442

LCM of 17226 and 17234

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

LCM of:
and

Least Common Multiple of 17226 and 17234

LCM of 17226 and 17234 is 148436442

Least common multiple can be found by multiplying the highest exponent prime factors of 17226 and 17234. First we will calculate the prime factors of 17226 and 17234.

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 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 17226 and 17234.

LCM(17226,17234) = 21×33×71×111×291×12311
LCM(17226,17234) = 148436442

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 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 17226 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 17226 and 17234, than apply into the LCM equation.

GCF(17226,17234) = 2
LCM(17226,17234) = ( 17226 × 17234) / 2
LCM(17226,17234) = 296872884 / 2
LCM(17226,17234) = 148436442

Properties of LCM 17226 and 17234

(i) The LCM of 17234 and 17226 is associative

LCM of 17226 and 17234 = LCM of 17234 and 17226

Related Least Common Multiples of 17226

Related Least Common Multiples of 17234

Frequently Asked Questions on LCM of 17226 and 17234

1. What is the LCM of 17226 and 17234?

Answer: LCM of 17226 and 17234 is 148436442.

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 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 17226 and 17234?

Answer:

Least Common Multiple of 17226 and 17234 = 148436442

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 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 = 148436442 = 2 x 3 x 3 x 3 x 7 x 11 x 29 x 1231

Step 4: Therefore, the least common multiple of 17226 and 17234 is 148436442.