Least Common Multiple (LCM) of 127 and 32
The least common multiple (LCM) of 127 and 32 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 127 and 32?
First, calculate the GCD of 127 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 32 = 3 remainder 31 |
| 2 | 32 ÷ 31 = 1 remainder 1 |
| 3 | 31 ÷ 1 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 83 | 1162 |
| 158 and 200 | 15800 |
| 76 and 20 | 380 |
| 96 and 167 | 16032 |
| 175 and 85 | 2975 |