Least Common Multiple (LCM) of 50 and 33
The least common multiple (LCM) of 50 and 33 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 33?
First, calculate the GCD of 50 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 33 = 1 remainder 17 |
| 2 | 33 ÷ 17 = 1 remainder 16 |
| 3 | 17 ÷ 16 = 1 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 171 | 21717 |
| 189 and 108 | 756 |
| 135 and 39 | 1755 |
| 120 and 44 | 1320 |
| 53 and 111 | 5883 |