Least Common Multiple (LCM) of 132 and 191
The least common multiple (LCM) of 132 and 191 is 25212.
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 191?
First, calculate the GCD of 132 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 191 = 0 remainder 132 |
| 2 | 191 ÷ 132 = 1 remainder 59 |
| 3 | 132 ÷ 59 = 2 remainder 14 |
| 4 | 59 ÷ 14 = 4 remainder 3 |
| 5 | 14 ÷ 3 = 4 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 177 | 4602 |
| 189 and 186 | 11718 |
| 77 and 78 | 6006 |
| 21 and 77 | 231 |
| 166 and 121 | 20086 |