Least Common Multiple of 4225 and 4231
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4225 and 4231 the smallest integer that is 17875975 that is divisible by both numbers.
Least Common Multiple (LCM) of 4225 and 4231 is 17875975.
LCM(4225,4231) = 17875975
LCM of 4225 and 4231
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4225 and 4231 by Prime method
- Least Common Multiple of 4225 and 4231 with GCF Formula
LCM of 4225 and 4231 is 17875975
Least common multiple can be found by multiplying the highest exponent prime factors of 4225 and 4231. First we will calculate the prime factors of 4225 and 4231.
Prime Factorization of 4225
| 5 | 4225 |
| 5 | 845 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 4225 are 5,13. Prime factorization of 4225 in exponential form is:
4225 = 52×132
Prime Factorization of 4231
| 4231 | 4231 |
| 1 |
Prime factors of 4231 are 4231. Prime factorization of 4231 in exponential form is:
4231 = 42311
Now multiplying the highest exponent prime factors to calculate the LCM of 4225 and 4231.
LCM(4225,4231) = 52×132×42311
LCM(4225,4231) = 17875975
Factors of 4225
List of positive integer factors of 4225 that divides 4225 without a remainder.
1, 5, 13, 25, 65, 169, 325, 845, 4225
Factors of 4231
List of positive integer factors of 4231 that divides 4231 without a remainder.
1, 4231
Least Common Multiple of 4225 and 4231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4225 and 4231, than apply into the LCM equation.
GCF(4225,4231) = 1
LCM(4225,4231) = ( 4225 × 4231) / 1
LCM(4225,4231) = 17875975 / 1
LCM(4225,4231) = 17875975
Properties of LCM 4225 and 4231
(i) The LCM of 4231 and 4225 is associative
LCM of 4225 and 4231 = LCM of 4231 and 4225
Related Least Common Multiples of 4225
Related Least Common Multiples of 4231
Frequently Asked Questions on LCM of 4225 and 4231
1. What is the LCM of 4225 and 4231?
Answer: LCM of 4225 and 4231 is 17875975.
2. What are the Factors of 4225?
Answer: Factors of 4225 are 1, 5, 13, 25, 65, 169, 325, 845, 4225. There are 9 integers that are factors of 4225. The greatest factor of 4225 is 4225.
3. What are the Factors of 4231?
Answer: Factors of 4231 are 1, 4231. There are 2 integers that are factors of 4231. The greatest factor of 4231 is 4231.
4. How to Find the LCM of 4225 and 4231?
Answer:
Least Common Multiple of 4225 and 4231 = 17875975
Step 1: Find the prime factorization of 4225
4225 = 5 x 5 x 13 x 13
Step 2: Find the prime factorization of 4231
4231 = 4231
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17875975 = 5 x 5 x 13 x 13 x 4231
Step 4: Therefore, the least common multiple of 4225 and 4231 is 17875975.