Least Common Multiple of 17234 and 17239

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 17239 the smallest integer that is 297096926 that is divisible by both numbers.

Least Common Multiple (LCM) of 17234 and 17239 is 297096926.

LCM(17234,17239) = 297096926

LCM of 17234 and 17239

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

LCM of:
and

Least Common Multiple of 17234 and 17239

LCM of 17234 and 17239 is 297096926

Least common multiple can be found by multiplying the highest exponent prime factors of 17234 and 17239. First we will calculate the prime factors of 17234 and 17239.

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 17239


17239 17239
1

Prime factors of 17239 are 17239. Prime factorization of 17239 in exponential form is:

17239 = 172391

Now multiplying the highest exponent prime factors to calculate the LCM of 17234 and 17239.

LCM(17234,17239) = 21×71×12311×172391
LCM(17234,17239) = 297096926

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 17239

List of positive integer factors of 17239 that divides 17239 without a remainder.

1, 17239

Least Common Multiple of 17234 and 17239 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 17239, than apply into the LCM equation.

GCF(17234,17239) = 1
LCM(17234,17239) = ( 17234 × 17239) / 1
LCM(17234,17239) = 297096926 / 1
LCM(17234,17239) = 297096926

Properties of LCM 17234 and 17239

(i) The LCM of 17239 and 17234 is associative

LCM of 17234 and 17239 = LCM of 17239 and 17234

Related Least Common Multiples of 17234

Related Least Common Multiples of 17239

Frequently Asked Questions on LCM of 17234 and 17239

1. What is the LCM of 17234 and 17239?

Answer: LCM of 17234 and 17239 is 297096926.

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 17239?

Answer: Factors of 17239 are 1, 17239. There are 2 integers that are factors of 17239. The greatest factor of 17239 is 17239.

4. How to Find the LCM of 17234 and 17239?

Answer:

Least Common Multiple of 17234 and 17239 = 297096926

Step 1: Find the prime factorization of 17234

17234 = 2 x 7 x 1231

Step 2: Find the prime factorization of 17239

17239 = 17239

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

LCM = 297096926 = 2 x 7 x 1231 x 17239

Step 4: Therefore, the least common multiple of 17234 and 17239 is 297096926.