Least Common Multiple of 8217 and 8225
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8217 and 8225 the smallest integer that is 67584825 that is divisible by both numbers.
Least Common Multiple (LCM) of 8217 and 8225 is 67584825.
LCM(8217,8225) = 67584825
LCM of 8217 and 8225
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8217 and 8225 by Prime method
- Least Common Multiple of 8217 and 8225 with GCF Formula
LCM of 8217 and 8225 is 67584825
Least common multiple can be found by multiplying the highest exponent prime factors of 8217 and 8225. First we will calculate the prime factors of 8217 and 8225.
Prime Factorization of 8217
| 3 | 8217 |
| 3 | 2739 |
| 11 | 913 |
| 83 | 83 |
| 1 |
Prime factors of 8217 are 3, 11,83. Prime factorization of 8217 in exponential form is:
8217 = 32×111×831
Prime Factorization of 8225
| 5 | 8225 |
| 5 | 1645 |
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 8225 are 5, 7,47. Prime factorization of 8225 in exponential form is:
8225 = 52×71×471
Now multiplying the highest exponent prime factors to calculate the LCM of 8217 and 8225.
LCM(8217,8225) = 32×52×71×111×471×831
LCM(8217,8225) = 67584825
Factors of 8217
List of positive integer factors of 8217 that divides 8217 without a remainder.
1, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739, 8217
Factors of 8225
List of positive integer factors of 8225 that divides 8225 without a remainder.
1, 5, 7, 25, 35, 47, 175, 235, 329, 1175, 1645, 8225
Least Common Multiple of 8217 and 8225 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8217 and 8225, than apply into the LCM equation.
GCF(8217,8225) = 1
LCM(8217,8225) = ( 8217 × 8225) / 1
LCM(8217,8225) = 67584825 / 1
LCM(8217,8225) = 67584825
Properties of LCM 8217 and 8225
(i) The LCM of 8225 and 8217 is associative
LCM of 8217 and 8225 = LCM of 8225 and 8217
Related Least Common Multiples of 8217
Related Least Common Multiples of 8225
Frequently Asked Questions on LCM of 8217 and 8225
1. What is the LCM of 8217 and 8225?
Answer: LCM of 8217 and 8225 is 67584825.
2. What are the Factors of 8217?
Answer: Factors of 8217 are 1, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739, 8217. There are 12 integers that are factors of 8217. The greatest factor of 8217 is 8217.
3. What are the Factors of 8225?
Answer: Factors of 8225 are 1, 5, 7, 25, 35, 47, 175, 235, 329, 1175, 1645, 8225. There are 12 integers that are factors of 8225. The greatest factor of 8225 is 8225.
4. How to Find the LCM of 8217 and 8225?
Answer:
Least Common Multiple of 8217 and 8225 = 67584825
Step 1: Find the prime factorization of 8217
8217 = 3 x 3 x 11 x 83
Step 2: Find the prime factorization of 8225
8225 = 5 x 5 x 7 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67584825 = 3 x 3 x 5 x 5 x 7 x 11 x 47 x 83
Step 4: Therefore, the least common multiple of 8217 and 8225 is 67584825.