Least Common Multiple (LCM) of 50 and 186
The least common multiple (LCM) of 50 and 186 is 4650.
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 186?
First, calculate the GCD of 50 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 186 = 0 remainder 50 |
| 2 | 186 ÷ 50 = 3 remainder 36 |
| 3 | 50 ÷ 36 = 1 remainder 14 |
| 4 | 36 ÷ 14 = 2 remainder 8 |
| 5 | 14 ÷ 8 = 1 remainder 6 |
| 6 | 8 ÷ 6 = 1 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 100 | 1100 |
| 141 and 42 | 1974 |
| 67 and 181 | 12127 |
| 49 and 151 | 7399 |
| 200 and 135 | 5400 |