Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 17229 and 17234 the smallest integer that is 296924586 that is divisible by both numbers.
Least Common Multiple (LCM) of 17229 and 17234 is 296924586.
LCM(17229,17234) = 296924586
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 17229 and 17234. First we will calculate the prime factors of 17229 and 17234.
Prime Factorization of 17229
3 | 17229 |
5743 | 5743 |
1 |
Prime factors of 17229 are 3,5743. Prime factorization of 17229 in exponential form is:
17229 = 31×57431
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 17229 and 17234.
LCM(17229,17234) = 21×31×71×12311×57431
LCM(17229,17234) = 296924586
Factors of 17229
List of positive integer factors of 17229 that divides 17229 without a remainder.
1, 3, 5743, 17229
Factors of 17234
List of positive integer factors of 17234 that divides 17234 without a remainder.
1, 2, 7, 14, 1231, 2462, 8617, 17234
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17229 and 17234, than apply into the LCM equation.
GCF(17229,17234) = 1
LCM(17229,17234) = ( 17229 × 17234) / 1
LCM(17229,17234) = 296924586 / 1
LCM(17229,17234) = 296924586
(i) The LCM of 17234 and 17229 is associative
LCM of 17229 and 17234 = LCM of 17234 and 17229
1. What is the LCM of 17229 and 17234?
Answer: LCM of 17229 and 17234 is 296924586.
2. What are the Factors of 17229?
Answer: Factors of 17229 are 1, 3, 5743, 17229. There are 4 integers that are factors of 17229. The greatest factor of 17229 is 17229.
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 17229 and 17234?
Answer:
Least Common Multiple of 17229 and 17234 = 296924586
Step 1: Find the prime factorization of 17229
17229 = 3 x 5743
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 = 296924586 = 2 x 3 x 7 x 1231 x 5743
Step 4: Therefore, the least common multiple of 17229 and 17234 is 296924586.