Least Common Multiple (LCM) of 191 and 76
The least common multiple (LCM) of 191 and 76 is 14516.
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 76?
First, calculate the GCD of 191 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 76 = 2 remainder 39 |
| 2 | 76 ÷ 39 = 1 remainder 37 |
| 3 | 39 ÷ 37 = 1 remainder 2 |
| 4 | 37 ÷ 2 = 18 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 65 | 12805 |
| 188 and 17 | 3196 |
| 122 and 84 | 5124 |
| 99 and 124 | 12276 |
| 17 and 55 | 935 |