Least Common Multiple (LCM) of 32 and 127
The least common multiple (LCM) of 32 and 127 is 4064.
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 32 and 127?
First, calculate the GCD of 32 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 127 = 0 remainder 32 |
| 2 | 127 ÷ 32 = 3 remainder 31 |
| 3 | 32 ÷ 31 = 1 remainder 1 |
| 4 | 31 ÷ 1 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 14 | 1778 |
| 181 and 114 | 20634 |
| 150 and 84 | 2100 |
| 161 and 119 | 2737 |
| 100 and 199 | 19900 |