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 |
|---|---|
| 41 and 103 | 4223 |
| 163 and 68 | 11084 |
| 117 and 24 | 936 |
| 122 and 166 | 10126 |
| 174 and 22 | 1914 |