Least Common Multiple of 3225 and 3231
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3225 and 3231 the smallest integer that is 3473325 that is divisible by both numbers.
Least Common Multiple (LCM) of 3225 and 3231 is 3473325.
LCM(3225,3231) = 3473325
LCM of 3225 and 3231
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3225 and 3231 by Prime method
- Least Common Multiple of 3225 and 3231 with GCF Formula
LCM of 3225 and 3231 is 3473325
Least common multiple can be found by multiplying the highest exponent prime factors of 3225 and 3231. First we will calculate the prime factors of 3225 and 3231.
Prime Factorization of 3225
| 3 | 3225 |
| 5 | 1075 |
| 5 | 215 |
| 43 | 43 |
| 1 |
Prime factors of 3225 are 3, 5,43. Prime factorization of 3225 in exponential form is:
3225 = 31×52×431
Prime Factorization of 3231
| 3 | 3231 |
| 3 | 1077 |
| 359 | 359 |
| 1 |
Prime factors of 3231 are 3,359. Prime factorization of 3231 in exponential form is:
3231 = 32×3591
Now multiplying the highest exponent prime factors to calculate the LCM of 3225 and 3231.
LCM(3225,3231) = 32×52×431×3591
LCM(3225,3231) = 3473325
Factors of 3225
List of positive integer factors of 3225 that divides 3225 without a remainder.
1, 3, 5, 15, 25, 43, 75, 129, 215, 645, 1075, 3225
Factors of 3231
List of positive integer factors of 3231 that divides 3231 without a remainder.
1, 3, 9, 359, 1077, 3231
Least Common Multiple of 3225 and 3231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3225 and 3231, than apply into the LCM equation.
GCF(3225,3231) = 3
LCM(3225,3231) = ( 3225 × 3231) / 3
LCM(3225,3231) = 10419975 / 3
LCM(3225,3231) = 3473325
Properties of LCM 3225 and 3231
(i) The LCM of 3231 and 3225 is associative
LCM of 3225 and 3231 = LCM of 3231 and 3225
Related Least Common Multiples of 3225
Related Least Common Multiples of 3231
Frequently Asked Questions on LCM of 3225 and 3231
1. What is the LCM of 3225 and 3231?
Answer: LCM of 3225 and 3231 is 3473325.
2. What are the Factors of 3225?
Answer: Factors of 3225 are 1, 3, 5, 15, 25, 43, 75, 129, 215, 645, 1075, 3225. There are 12 integers that are factors of 3225. The greatest factor of 3225 is 3225.
3. What are the Factors of 3231?
Answer: Factors of 3231 are 1, 3, 9, 359, 1077, 3231. There are 6 integers that are factors of 3231. The greatest factor of 3231 is 3231.
4. How to Find the LCM of 3225 and 3231?
Answer:
Least Common Multiple of 3225 and 3231 = 3473325
Step 1: Find the prime factorization of 3225
3225 = 3 x 5 x 5 x 43
Step 2: Find the prime factorization of 3231
3231 = 3 x 3 x 359
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3473325 = 3 x 3 x 5 x 5 x 43 x 359
Step 4: Therefore, the least common multiple of 3225 and 3231 is 3473325.