Least Common Multiple (LCM) of 181 and 200
The least common multiple (LCM) of 181 and 200 is 36200.
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 200?
First, calculate the GCD of 181 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 200 = 0 remainder 181 |
| 2 | 200 ÷ 181 = 1 remainder 19 |
| 3 | 181 ÷ 19 = 9 remainder 10 |
| 4 | 19 ÷ 10 = 1 remainder 9 |
| 5 | 10 ÷ 9 = 1 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 171 | 9063 |
| 34 and 199 | 6766 |
| 135 and 50 | 1350 |
| 120 and 157 | 18840 |
| 16 and 141 | 2256 |