Least Common Multiple (LCM) of 50 and 22
The least common multiple (LCM) of 50 and 22 is 550.
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 22?
First, calculate the GCD of 50 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 22 = 2 remainder 6 |
| 2 | 22 ÷ 6 = 3 remainder 4 |
| 3 | 6 ÷ 4 = 1 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 139 | 1807 |
| 34 and 165 | 5610 |
| 120 and 37 | 4440 |
| 103 and 75 | 7725 |
| 31 and 188 | 5828 |