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 |
|---|---|
| 45 and 37 | 1665 |
| 105 and 77 | 1155 |
| 128 and 49 | 6272 |
| 146 and 128 | 9344 |
| 140 and 48 | 1680 |