Least Common Multiple (LCM) of 195 and 78
The least common multiple (LCM) of 195 and 78 is 390.
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 78?
First, calculate the GCD of 195 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 78 = 2 remainder 39 |
| 2 | 78 ÷ 39 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 85 | 9605 |
| 12 and 115 | 1380 |
| 53 and 104 | 5512 |
| 17 and 96 | 1632 |
| 170 and 112 | 9520 |