Least Common Multiple (LCM) of 194 and 32
The least common multiple (LCM) of 194 and 32 is 3104.
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 194 and 32?
First, calculate the GCD of 194 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 32 = 6 remainder 2 |
| 2 | 32 ÷ 2 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 196 | 5880 |
| 48 and 18 | 144 |
| 123 and 43 | 5289 |
| 46 and 44 | 1012 |
| 108 and 46 | 2484 |