Least Common Multiple (LCM) of 132 and 197
The least common multiple (LCM) of 132 and 197 is 26004.
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 132 and 197?
First, calculate the GCD of 132 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 197 = 0 remainder 132 |
| 2 | 197 ÷ 132 = 1 remainder 65 |
| 3 | 132 ÷ 65 = 2 remainder 2 |
| 4 | 65 ÷ 2 = 32 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 12 | 2172 |
| 173 and 122 | 21106 |
| 71 and 10 | 710 |
| 165 and 10 | 330 |
| 185 and 129 | 23865 |