Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15283 and 15289 the smallest integer that is 233661787 that is divisible by both numbers.
Least Common Multiple (LCM) of 15283 and 15289 is 233661787.
LCM(15283,15289) = 233661787
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 15283 and 15289. First we will calculate the prime factors of 15283 and 15289.
Prime Factorization of 15283
17 | 15283 |
29 | 899 |
31 | 31 |
1 |
Prime factors of 15283 are 17, 29,31. Prime factorization of 15283 in exponential form is:
15283 = 171×291×311
Prime Factorization of 15289
15289 | 15289 |
1 |
Prime factors of 15289 are 15289. Prime factorization of 15289 in exponential form is:
15289 = 152891
Now multiplying the highest exponent prime factors to calculate the LCM of 15283 and 15289.
LCM(15283,15289) = 171×291×311×152891
LCM(15283,15289) = 233661787
Factors of 15283
List of positive integer factors of 15283 that divides 15283 without a remainder.
1, 17, 29, 31, 493, 527, 899, 15283
Factors of 15289
List of positive integer factors of 15289 that divides 15289 without a remainder.
1, 15289
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15283 and 15289, than apply into the LCM equation.
GCF(15283,15289) = 1
LCM(15283,15289) = ( 15283 × 15289) / 1
LCM(15283,15289) = 233661787 / 1
LCM(15283,15289) = 233661787
(i) The LCM of 15289 and 15283 is associative
LCM of 15283 and 15289 = LCM of 15289 and 15283
1. What is the LCM of 15283 and 15289?
Answer: LCM of 15283 and 15289 is 233661787.
2. What are the Factors of 15283?
Answer: Factors of 15283 are 1, 17, 29, 31, 493, 527, 899, 15283. There are 8 integers that are factors of 15283. The greatest factor of 15283 is 15283.
3. What are the Factors of 15289?
Answer: Factors of 15289 are 1, 15289. There are 2 integers that are factors of 15289. The greatest factor of 15289 is 15289.
4. How to Find the LCM of 15283 and 15289?
Answer:
Least Common Multiple of 15283 and 15289 = 233661787
Step 1: Find the prime factorization of 15283
15283 = 17 x 29 x 31
Step 2: Find the prime factorization of 15289
15289 = 15289
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 233661787 = 17 x 29 x 31 x 15289
Step 4: Therefore, the least common multiple of 15283 and 15289 is 233661787.