Least Common Multiple of 17234 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 17234 and 17238 the smallest integer that is 148539846 that is divisible by both numbers.

Least Common Multiple (LCM) of 17234 and 17238 is 148539846.

LCM(17234,17238) = 148539846

LCM of 17234 and 17238

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

LCM of:
and

Least Common Multiple of 17234 and 17238

LCM of 17234 and 17238 is 148539846

Least common multiple can be found by multiplying the highest exponent prime factors of 17234 and 17238. First we will calculate the prime factors of 17234 and 17238.

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

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 17234 and 17238.

LCM(17234,17238) = 21×31×71×132×171×12311
LCM(17234,17238) = 148539846

Factors of 17234

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

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

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 17234 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 17234 and 17238, than apply into the LCM equation.

GCF(17234,17238) = 2
LCM(17234,17238) = ( 17234 × 17238) / 2
LCM(17234,17238) = 297079692 / 2
LCM(17234,17238) = 148539846

Properties of LCM 17234 and 17238

(i) The LCM of 17238 and 17234 is associative

LCM of 17234 and 17238 = LCM of 17238 and 17234

Related Least Common Multiples of 17234

Related Least Common Multiples of 17238

Frequently Asked Questions on LCM of 17234 and 17238

1. What is the LCM of 17234 and 17238?

Answer: LCM of 17234 and 17238 is 148539846.

2. 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.

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 17234 and 17238?

Answer:

Least Common Multiple of 17234 and 17238 = 148539846

Step 1: Find the prime factorization of 17234

17234 = 2 x 7 x 1231

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 = 148539846 = 2 x 3 x 7 x 13 x 13 x 17 x 1231

Step 4: Therefore, the least common multiple of 17234 and 17238 is 148539846.