Least Common Multiple (LCM) of 127 and 48
The least common multiple (LCM) of 127 and 48 is 6096.
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 48?
First, calculate the GCD of 127 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 48 = 2 remainder 31 |
| 2 | 48 ÷ 31 = 1 remainder 17 |
| 3 | 31 ÷ 17 = 1 remainder 14 |
| 4 | 17 ÷ 14 = 1 remainder 3 |
| 5 | 14 ÷ 3 = 4 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 62 | 5394 |
| 161 and 53 | 8533 |
| 23 and 109 | 2507 |
| 107 and 71 | 7597 |
| 95 and 89 | 8455 |