Least Common Multiple (LCM) of 195 and 94
The least common multiple (LCM) of 195 and 94 is 18330.
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 195 and 94?
First, calculate the GCD of 195 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 94 = 2 remainder 7 |
| 2 | 94 ÷ 7 = 13 remainder 3 |
| 3 | 7 ÷ 3 = 2 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 48 | 240 |
| 127 and 174 | 22098 |
| 15 and 197 | 2955 |
| 142 and 127 | 18034 |
| 90 and 32 | 1440 |