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
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
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
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
(i) The LCM of 17239 and 17234 is associative
LCM of 17234 and 17239 = LCM of 17239 and 17234
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.