Least Common Multiple (LCM) of 195 and 96
The least common multiple (LCM) of 195 and 96 is 6240.
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 96?
First, calculate the GCD of 195 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 96 = 2 remainder 3 |
| 2 | 96 ÷ 3 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 21 | 1050 |
| 122 and 182 | 11102 |
| 102 and 58 | 2958 |
| 193 and 164 | 31652 |
| 45 and 172 | 7740 |