Least Common Multiple of 8197 and 8203
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 8203 the smallest integer that is 67239991 that is divisible by both numbers.
Least Common Multiple (LCM) of 8197 and 8203 is 67239991.
LCM(8197,8203) = 67239991
LCM of 8197 and 8203
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8197 and 8203 by Prime method
- Least Common Multiple of 8197 and 8203 with GCF Formula
LCM of 8197 and 8203 is 67239991
Least common multiple can be found by multiplying the highest exponent prime factors of 8197 and 8203. First we will calculate the prime factors of 8197 and 8203.
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 8203
| 13 | 8203 |
| 631 | 631 |
| 1 |
Prime factors of 8203 are 13,631. Prime factorization of 8203 in exponential form is:
8203 = 131×6311
Now multiplying the highest exponent prime factors to calculate the LCM of 8197 and 8203.
LCM(8197,8203) = 71×131×6311×11711
LCM(8197,8203) = 67239991
Factors of 8197
List of positive integer factors of 8197 that divides 8197 without a remainder.
1, 7, 1171, 8197
Factors of 8203
List of positive integer factors of 8203 that divides 8203 without a remainder.
1, 13, 631, 8203
Least Common Multiple of 8197 and 8203 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 8203, than apply into the LCM equation.
GCF(8197,8203) = 1
LCM(8197,8203) = ( 8197 × 8203) / 1
LCM(8197,8203) = 67239991 / 1
LCM(8197,8203) = 67239991
Properties of LCM 8197 and 8203
(i) The LCM of 8203 and 8197 is associative
LCM of 8197 and 8203 = LCM of 8203 and 8197
Related Least Common Multiples of 8197
Related Least Common Multiples of 8203
Frequently Asked Questions on LCM of 8197 and 8203
1. What is the LCM of 8197 and 8203?
Answer: LCM of 8197 and 8203 is 67239991.
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 8203?
Answer: Factors of 8203 are 1, 13, 631, 8203. There are 4 integers that are factors of 8203. The greatest factor of 8203 is 8203.
4. How to Find the LCM of 8197 and 8203?
Answer:
Least Common Multiple of 8197 and 8203 = 67239991
Step 1: Find the prime factorization of 8197
8197 = 7 x 1171
Step 2: Find the prime factorization of 8203
8203 = 13 x 631
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67239991 = 7 x 13 x 631 x 1171
Step 4: Therefore, the least common multiple of 8197 and 8203 is 67239991.