Least Common Multiple (LCM) of 181 and 132
The least common multiple (LCM) of 181 and 132 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 181 and 132?
First, calculate the GCD of 181 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 132 = 1 remainder 49 |
| 2 | 132 ÷ 49 = 2 remainder 34 |
| 3 | 49 ÷ 34 = 1 remainder 15 |
| 4 | 34 ÷ 15 = 2 remainder 4 |
| 5 | 15 ÷ 4 = 3 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 140 | 17220 |
| 102 and 156 | 2652 |
| 115 and 27 | 3105 |
| 49 and 120 | 5880 |
| 106 and 157 | 16642 |