Least Common Multiple (LCM) of 50 and 181
The least common multiple (LCM) of 50 and 181 is 9050.
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 181?
First, calculate the GCD of 50 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 181 = 0 remainder 50 |
| 2 | 181 ÷ 50 = 3 remainder 31 |
| 3 | 50 ÷ 31 = 1 remainder 19 |
| 4 | 31 ÷ 19 = 1 remainder 12 |
| 5 | 19 ÷ 12 = 1 remainder 7 |
| 6 | 12 ÷ 7 = 1 remainder 5 |
| 7 | 7 ÷ 5 = 1 remainder 2 |
| 8 | 5 ÷ 2 = 2 remainder 1 |
| 9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 79 | 4740 |
| 180 and 155 | 5580 |
| 135 and 174 | 7830 |
| 22 and 128 | 1408 |
| 185 and 200 | 7400 |