Least Common Multiple (LCM) of 48 and 195
The least common multiple (LCM) of 48 and 195 is 3120.
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 48 and 195?
First, calculate the GCD of 48 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 195 = 0 remainder 48 |
| 2 | 195 ÷ 48 = 4 remainder 3 |
| 3 | 48 ÷ 3 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 84 | 3612 |
| 93 and 85 | 7905 |
| 92 and 71 | 6532 |
| 133 and 189 | 3591 |
| 65 and 72 | 4680 |