Least Common Multiple (LCM) of 195 and 133
The least common multiple (LCM) of 195 and 133 is 25935.
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 133?
First, calculate the GCD of 195 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 133 = 1 remainder 62 |
| 2 | 133 ÷ 62 = 2 remainder 9 |
| 3 | 62 ÷ 9 = 6 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 123 | 4551 |
| 105 and 160 | 3360 |
| 57 and 78 | 1482 |
| 200 and 159 | 31800 |
| 63 and 79 | 4977 |