Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8191 and 8197 the smallest integer that is 67141627 that is divisible by both numbers.
Least Common Multiple (LCM) of 8191 and 8197 is 67141627.
LCM(8191,8197) = 67141627
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8191 and 8197. First we will calculate the prime factors of 8191 and 8197.
Prime Factorization of 8191
8191 | 8191 |
1 |
Prime factors of 8191 are 8191. Prime factorization of 8191 in exponential form is:
8191 = 81911
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8191 and 8197.
LCM(8191,8197) = 71×11711×81911
LCM(8191,8197) = 67141627
Factors of 8191
List of positive integer factors of 8191 that divides 8191 without a remainder.
1, 8191
Factors of 8197
List of positive integer factors of 8197 that divides 8197 without a remainder.
1, 7, 1171, 8197
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8191 and 8197, than apply into the LCM equation.
GCF(8191,8197) = 1
LCM(8191,8197) = ( 8191 × 8197) / 1
LCM(8191,8197) = 67141627 / 1
LCM(8191,8197) = 67141627
(i) The LCM of 8197 and 8191 is associative
LCM of 8191 and 8197 = LCM of 8197 and 8191
1. What is the LCM of 8191 and 8197?
Answer: LCM of 8191 and 8197 is 67141627.
2. What are the Factors of 8191?
Answer: Factors of 8191 are 1, 8191. There are 2 integers that are factors of 8191. The greatest factor of 8191 is 8191.
3. 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.
4. How to Find the LCM of 8191 and 8197?
Answer:
Least Common Multiple of 8191 and 8197 = 67141627
Step 1: Find the prime factorization of 8191
8191 = 8191
Step 2: Find the prime factorization of 8197
8197 = 7 x 1171
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67141627 = 7 x 1171 x 8191
Step 4: Therefore, the least common multiple of 8191 and 8197 is 67141627.