Least Common Multiple (LCM) of 132 and 181
The least common multiple (LCM) of 132 and 181 is 23892.
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 181?
First, calculate the GCD of 132 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 181 = 0 remainder 132 |
| 2 | 181 ÷ 132 = 1 remainder 49 |
| 3 | 132 ÷ 49 = 2 remainder 34 |
| 4 | 49 ÷ 34 = 1 remainder 15 |
| 5 | 34 ÷ 15 = 2 remainder 4 |
| 6 | 15 ÷ 4 = 3 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 28 | 112 |
| 169 and 57 | 9633 |
| 41 and 180 | 7380 |
| 16 and 34 | 272 |
| 118 and 103 | 12154 |