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 |
|---|---|
| 78 and 154 | 6006 |
| 87 and 59 | 5133 |
| 164 and 174 | 14268 |
| 153 and 192 | 9792 |
| 149 and 32 | 4768 |