Least Common Multiple of 12321 and 12325
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 12321 and 12325 the smallest integer that is 151856325 that is divisible by both numbers.
Least Common Multiple (LCM) of 12321 and 12325 is 151856325.
LCM(12321,12325) = 151856325
LCM of 12321 and 12325
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 12321 and 12325 by Prime method
- Least Common Multiple of 12321 and 12325 with GCF Formula
LCM of 12321 and 12325 is 151856325
Least common multiple can be found by multiplying the highest exponent prime factors of 12321 and 12325. First we will calculate the prime factors of 12321 and 12325.
Prime Factorization of 12321
| 3 | 12321 |
| 3 | 4107 |
| 37 | 1369 |
| 37 | 37 |
| 1 |
Prime factors of 12321 are 3,37. Prime factorization of 12321 in exponential form is:
12321 = 32×372
Prime Factorization of 12325
| 5 | 12325 |
| 5 | 2465 |
| 17 | 493 |
| 29 | 29 |
| 1 |
Prime factors of 12325 are 5, 17,29. Prime factorization of 12325 in exponential form is:
12325 = 52×171×291
Now multiplying the highest exponent prime factors to calculate the LCM of 12321 and 12325.
LCM(12321,12325) = 32×52×171×291×372
LCM(12321,12325) = 151856325
Factors of 12321
List of positive integer factors of 12321 that divides 12321 without a remainder.
1, 3, 9, 37, 111, 333, 1369, 4107, 12321
Factors of 12325
List of positive integer factors of 12325 that divides 12325 without a remainder.
1, 5, 17, 25, 29, 85, 145, 425, 493, 725, 2465, 12325
Least Common Multiple of 12321 and 12325 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12321 and 12325, than apply into the LCM equation.
GCF(12321,12325) = 1
LCM(12321,12325) = ( 12321 × 12325) / 1
LCM(12321,12325) = 151856325 / 1
LCM(12321,12325) = 151856325
Properties of LCM 12321 and 12325
(i) The LCM of 12325 and 12321 is associative
LCM of 12321 and 12325 = LCM of 12325 and 12321
Related Least Common Multiples of 12321
Related Least Common Multiples of 12325
Frequently Asked Questions on LCM of 12321 and 12325
1. What is the LCM of 12321 and 12325?
Answer: LCM of 12321 and 12325 is 151856325.
2. What are the Factors of 12321?
Answer: Factors of 12321 are 1, 3, 9, 37, 111, 333, 1369, 4107, 12321. There are 9 integers that are factors of 12321. The greatest factor of 12321 is 12321.
3. What are the Factors of 12325?
Answer: Factors of 12325 are 1, 5, 17, 25, 29, 85, 145, 425, 493, 725, 2465, 12325. There are 12 integers that are factors of 12325. The greatest factor of 12325 is 12325.
4. How to Find the LCM of 12321 and 12325?
Answer:
Least Common Multiple of 12321 and 12325 = 151856325
Step 1: Find the prime factorization of 12321
12321 = 3 x 3 x 37 x 37
Step 2: Find the prime factorization of 12325
12325 = 5 x 5 x 17 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 151856325 = 3 x 3 x 5 x 5 x 17 x 29 x 37 x 37
Step 4: Therefore, the least common multiple of 12321 and 12325 is 151856325.