Least Common Multiple (LCM) of 191 and 85
The least common multiple (LCM) of 191 and 85 is 16235.
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 85?
First, calculate the GCD of 191 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 85 = 2 remainder 21 |
| 2 | 85 ÷ 21 = 4 remainder 1 |
| 3 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 66 | 330 |
| 122 and 171 | 20862 |
| 128 and 114 | 7296 |
| 111 and 102 | 3774 |
| 170 and 177 | 30090 |