Least Common Multiple (LCM) of 191 and 96
The least common multiple (LCM) of 191 and 96 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 191 and 96?
First, calculate the GCD of 191 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 96 = 1 remainder 95 |
| 2 | 96 ÷ 95 = 1 remainder 1 |
| 3 | 95 ÷ 1 = 95 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 51 | 2448 |
| 159 and 140 | 22260 |
| 119 and 156 | 18564 |
| 48 and 85 | 4080 |
| 188 and 55 | 10340 |