Least Common Multiple of 4217 and 4225
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4217 and 4225 the smallest integer that is 17816825 that is divisible by both numbers.
Least Common Multiple (LCM) of 4217 and 4225 is 17816825.
LCM(4217,4225) = 17816825
LCM of 4217 and 4225
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4217 and 4225 by Prime method
- Least Common Multiple of 4217 and 4225 with GCF Formula
LCM of 4217 and 4225 is 17816825
Least common multiple can be found by multiplying the highest exponent prime factors of 4217 and 4225. First we will calculate the prime factors of 4217 and 4225.
Prime Factorization of 4217
| 4217 | 4217 |
| 1 |
Prime factors of 4217 are 4217. Prime factorization of 4217 in exponential form is:
4217 = 42171
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4217 and 4225.
LCM(4217,4225) = 52×132×42171
LCM(4217,4225) = 17816825
Factors of 4217
List of positive integer factors of 4217 that divides 4217 without a remainder.
1, 4217
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
Least Common Multiple of 4217 and 4225 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4217 and 4225, than apply into the LCM equation.
GCF(4217,4225) = 1
LCM(4217,4225) = ( 4217 × 4225) / 1
LCM(4217,4225) = 17816825 / 1
LCM(4217,4225) = 17816825
Properties of LCM 4217 and 4225
(i) The LCM of 4225 and 4217 is associative
LCM of 4217 and 4225 = LCM of 4225 and 4217
Related Least Common Multiples of 4217
Related Least Common Multiples of 4225
Frequently Asked Questions on LCM of 4217 and 4225
1. What is the LCM of 4217 and 4225?
Answer: LCM of 4217 and 4225 is 17816825.
2. What are the Factors of 4217?
Answer: Factors of 4217 are 1, 4217. There are 2 integers that are factors of 4217. The greatest factor of 4217 is 4217.
3. 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.
4. How to Find the LCM of 4217 and 4225?
Answer:
Least Common Multiple of 4217 and 4225 = 17816825
Step 1: Find the prime factorization of 4217
4217 = 4217
Step 2: Find the prime factorization of 4225
4225 = 5 x 5 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17816825 = 5 x 5 x 13 x 13 x 4217
Step 4: Therefore, the least common multiple of 4217 and 4225 is 17816825.