Least Common Multiple (LCM) of 50 and 66
The least common multiple (LCM) of 50 and 66 is 1650.
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 50 and 66?
First, calculate the GCD of 50 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 66 = 0 remainder 50 |
| 2 | 66 ÷ 50 = 1 remainder 16 |
| 3 | 50 ÷ 16 = 3 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 20 | 340 |
| 199 and 54 | 10746 |
| 182 and 192 | 17472 |
| 40 and 38 | 760 |
| 76 and 198 | 7524 |