Least Common Multiple of 3225 and 3229
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 3229 the smallest integer that is 10413525 that is divisible by both numbers.
Least Common Multiple (LCM) of 3225 and 3229 is 10413525.
LCM(3225,3229) = 10413525
LCM of 3225 and 3229
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3225 and 3229 by Prime method
- Least Common Multiple of 3225 and 3229 with GCF Formula
LCM of 3225 and 3229 is 10413525
Least common multiple can be found by multiplying the highest exponent prime factors of 3225 and 3229. First we will calculate the prime factors of 3225 and 3229.
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 3229
| 3229 | 3229 |
| 1 |
Prime factors of 3229 are 3229. Prime factorization of 3229 in exponential form is:
3229 = 32291
Now multiplying the highest exponent prime factors to calculate the LCM of 3225 and 3229.
LCM(3225,3229) = 31×52×431×32291
LCM(3225,3229) = 10413525
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 3229
List of positive integer factors of 3229 that divides 3229 without a remainder.
1, 3229
Least Common Multiple of 3225 and 3229 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 3229, than apply into the LCM equation.
GCF(3225,3229) = 1
LCM(3225,3229) = ( 3225 × 3229) / 1
LCM(3225,3229) = 10413525 / 1
LCM(3225,3229) = 10413525
Properties of LCM 3225 and 3229
(i) The LCM of 3229 and 3225 is associative
LCM of 3225 and 3229 = LCM of 3229 and 3225
Related Least Common Multiples of 3225
Related Least Common Multiples of 3229
Frequently Asked Questions on LCM of 3225 and 3229
1. What is the LCM of 3225 and 3229?
Answer: LCM of 3225 and 3229 is 10413525.
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 3229?
Answer: Factors of 3229 are 1, 3229. There are 2 integers that are factors of 3229. The greatest factor of 3229 is 3229.
4. How to Find the LCM of 3225 and 3229?
Answer:
Least Common Multiple of 3225 and 3229 = 10413525
Step 1: Find the prime factorization of 3225
3225 = 3 x 5 x 5 x 43
Step 2: Find the prime factorization of 3229
3229 = 3229
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10413525 = 3 x 5 x 5 x 43 x 3229
Step 4: Therefore, the least common multiple of 3225 and 3229 is 10413525.