Least Common Multiple (LCM) of 81 and 200
The least common multiple (LCM) of 81 and 200 is 16200.
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 81 and 200?
First, calculate the GCD of 81 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 81 ÷ 200 = 0 remainder 81 |
| 2 | 200 ÷ 81 = 2 remainder 38 |
| 3 | 81 ÷ 38 = 2 remainder 5 |
| 4 | 38 ÷ 5 = 7 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 119 | 17850 |
| 16 and 146 | 1168 |
| 115 and 109 | 12535 |
| 115 and 11 | 1265 |
| 116 and 153 | 17748 |