Least Common Multiple of 8197 and 8205
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8197 and 8205 the smallest integer that is 67256385 that is divisible by both numbers.
Least Common Multiple (LCM) of 8197 and 8205 is 67256385.
LCM(8197,8205) = 67256385
LCM of 8197 and 8205
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8197 and 8205 by Prime method
- Least Common Multiple of 8197 and 8205 with GCF Formula
LCM of 8197 and 8205 is 67256385
Least common multiple can be found by multiplying the highest exponent prime factors of 8197 and 8205. First we will calculate the prime factors of 8197 and 8205.
Prime Factorization of 8197
| 7 | 8197 |
| 1171 | 1171 |
| 1 |
Prime factors of 8197 are 7,1171. Prime factorization of 8197 in exponential form is:
8197 = 71×11711
Prime Factorization of 8205
| 3 | 8205 |
| 5 | 2735 |
| 547 | 547 |
| 1 |
Prime factors of 8205 are 3, 5,547. Prime factorization of 8205 in exponential form is:
8205 = 31×51×5471
Now multiplying the highest exponent prime factors to calculate the LCM of 8197 and 8205.
LCM(8197,8205) = 31×51×71×5471×11711
LCM(8197,8205) = 67256385
Factors of 8197
List of positive integer factors of 8197 that divides 8197 without a remainder.
1, 7, 1171, 8197
Factors of 8205
List of positive integer factors of 8205 that divides 8205 without a remainder.
1, 3, 5, 15, 547, 1641, 2735, 8205
Least Common Multiple of 8197 and 8205 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8197 and 8205, than apply into the LCM equation.
GCF(8197,8205) = 1
LCM(8197,8205) = ( 8197 × 8205) / 1
LCM(8197,8205) = 67256385 / 1
LCM(8197,8205) = 67256385
Properties of LCM 8197 and 8205
(i) The LCM of 8205 and 8197 is associative
LCM of 8197 and 8205 = LCM of 8205 and 8197
Related Least Common Multiples of 8197
Related Least Common Multiples of 8205
Frequently Asked Questions on LCM of 8197 and 8205
1. What is the LCM of 8197 and 8205?
Answer: LCM of 8197 and 8205 is 67256385.
2. What are the Factors of 8197?
Answer: Factors of 8197 are 1, 7, 1171, 8197. There are 4 integers that are factors of 8197. The greatest factor of 8197 is 8197.
3. What are the Factors of 8205?
Answer: Factors of 8205 are 1, 3, 5, 15, 547, 1641, 2735, 8205. There are 8 integers that are factors of 8205. The greatest factor of 8205 is 8205.
4. How to Find the LCM of 8197 and 8205?
Answer:
Least Common Multiple of 8197 and 8205 = 67256385
Step 1: Find the prime factorization of 8197
8197 = 7 x 1171
Step 2: Find the prime factorization of 8205
8205 = 3 x 5 x 547
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67256385 = 3 x 5 x 7 x 547 x 1171
Step 4: Therefore, the least common multiple of 8197 and 8205 is 67256385.