Least Common Multiple (LCM) of 33 and 200
The least common multiple (LCM) of 33 and 200 is 6600.
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 33 and 200?
First, calculate the GCD of 33 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 200 = 0 remainder 33 |
| 2 | 200 ÷ 33 = 6 remainder 2 |
| 3 | 33 ÷ 2 = 16 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 59 | 11505 |
| 200 and 72 | 1800 |
| 166 and 13 | 2158 |
| 125 and 67 | 8375 |
| 107 and 10 | 1070 |