Least Common Multiple (LCM) of 191 and 82
The least common multiple (LCM) of 191 and 82 is 15662.
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 82?
First, calculate the GCD of 191 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 82 = 2 remainder 27 |
| 2 | 82 ÷ 27 = 3 remainder 1 |
| 3 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 100 | 5700 |
| 38 and 50 | 950 |
| 88 and 102 | 4488 |
| 171 and 142 | 24282 |
| 128 and 45 | 5760 |