Least Common Multiple (LCM) of 127 and 150
The least common multiple (LCM) of 127 and 150 is 19050.
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 127 and 150?
First, calculate the GCD of 127 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 150 = 0 remainder 127 |
| 2 | 150 ÷ 127 = 1 remainder 23 |
| 3 | 127 ÷ 23 = 5 remainder 12 |
| 4 | 23 ÷ 12 = 1 remainder 11 |
| 5 | 12 ÷ 11 = 1 remainder 1 |
| 6 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 122 | 14274 |
| 77 and 125 | 9625 |
| 176 and 107 | 18832 |
| 57 and 126 | 2394 |
| 182 and 81 | 14742 |