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 |
|---|---|
| 128 and 199 | 25472 |
| 112 and 15 | 1680 |
| 40 and 72 | 360 |
| 111 and 107 | 11877 |
| 49 and 33 | 1617 |