Least Common Multiple (LCM) of 181 and 100
The least common multiple (LCM) of 181 and 100 is 18100.
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 100?
First, calculate the GCD of 181 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 100 = 1 remainder 81 |
| 2 | 100 ÷ 81 = 1 remainder 19 |
| 3 | 81 ÷ 19 = 4 remainder 5 |
| 4 | 19 ÷ 5 = 3 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 46 | 3726 |
| 45 and 25 | 225 |
| 50 and 167 | 8350 |
| 39 and 14 | 546 |
| 106 and 41 | 4346 |