Least Common Multiple (LCM) of 50 and 127
The least common multiple (LCM) of 50 and 127 is 6350.
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 127?
First, calculate the GCD of 50 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 127 = 0 remainder 50 |
| 2 | 127 ÷ 50 = 2 remainder 27 |
| 3 | 50 ÷ 27 = 1 remainder 23 |
| 4 | 27 ÷ 23 = 1 remainder 4 |
| 5 | 23 ÷ 4 = 5 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 51 | 8211 |
| 96 and 95 | 9120 |
| 135 and 25 | 675 |
| 37 and 40 | 1480 |
| 184 and 34 | 3128 |