Least Common Multiple (LCM) of 127 and 95
The least common multiple (LCM) of 127 and 95 is 12065.
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 95?
First, calculate the GCD of 127 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 95 = 1 remainder 32 |
| 2 | 95 ÷ 32 = 2 remainder 31 |
| 3 | 32 ÷ 31 = 1 remainder 1 |
| 4 | 31 ÷ 1 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 167 | 167 |
| 26 and 130 | 130 |
| 142 and 19 | 2698 |
| 122 and 149 | 18178 |
| 67 and 96 | 6432 |