Least Common Multiple (LCM) of 127 and 96
The least common multiple (LCM) of 127 and 96 is 12192.
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 96?
First, calculate the GCD of 127 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 96 = 1 remainder 31 |
| 2 | 96 ÷ 31 = 3 remainder 3 |
| 3 | 31 ÷ 3 = 10 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 175 | 4550 |
| 112 and 20 | 560 |
| 133 and 66 | 8778 |
| 21 and 82 | 1722 |
| 122 and 16 | 976 |