Least Common Multiple (LCM) of 195 and 132
The least common multiple (LCM) of 195 and 132 is 8580.
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 132?
First, calculate the GCD of 195 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 132 = 1 remainder 63 |
| 2 | 132 ÷ 63 = 2 remainder 6 |
| 3 | 63 ÷ 6 = 10 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 48 | 48 |
| 123 and 100 | 12300 |
| 154 and 72 | 5544 |
| 23 and 94 | 2162 |
| 159 and 112 | 17808 |