Least Common Multiple (LCM) of 191 and 165
The least common multiple (LCM) of 191 and 165 is 31515.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 191 and 165?
First, calculate the GCD of 191 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 165 = 1 remainder 26 |
| 2 | 165 ÷ 26 = 6 remainder 9 |
| 3 | 26 ÷ 9 = 2 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 103 | 8343 |
| 100 and 22 | 1100 |
| 23 and 67 | 1541 |
| 124 and 181 | 22444 |
| 109 and 141 | 15369 |