Least Common Multiple (LCM) of 96 and 191
The least common multiple (LCM) of 96 and 191 is 18336.
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 96 and 191?
First, calculate the GCD of 96 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 96 ÷ 191 = 0 remainder 96 |
| 2 | 191 ÷ 96 = 1 remainder 95 |
| 3 | 96 ÷ 95 = 1 remainder 1 |
| 4 | 95 ÷ 1 = 95 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 91 | 1092 |
| 189 and 57 | 3591 |
| 71 and 37 | 2627 |
| 165 and 82 | 13530 |
| 24 and 56 | 168 |