Least Common Multiple (LCM) of 191 and 32
The least common multiple (LCM) of 191 and 32 is 6112.
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 32?
First, calculate the GCD of 191 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 32 = 5 remainder 31 |
| 2 | 32 ÷ 31 = 1 remainder 1 |
| 3 | 31 ÷ 1 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 134 | 8710 |
| 190 and 135 | 5130 |
| 156 and 36 | 468 |
| 180 and 170 | 3060 |
| 71 and 107 | 7597 |