Least Common Multiple (LCM) of 200 and 181
The least common multiple (LCM) of 200 and 181 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 200 and 181?
First, calculate the GCD of 200 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 181 = 1 remainder 19 |
| 2 | 181 ÷ 19 = 9 remainder 10 |
| 3 | 19 ÷ 10 = 1 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 62 | 1488 |
| 30 and 139 | 4170 |
| 81 and 16 | 1296 |
| 123 and 12 | 492 |
| 44 and 39 | 1716 |