Least Common Multiple (LCM) of 95 and 127
The least common multiple (LCM) of 95 and 127 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 95 and 127?
First, calculate the GCD of 95 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 127 = 0 remainder 95 |
| 2 | 127 ÷ 95 = 1 remainder 32 |
| 3 | 95 ÷ 32 = 2 remainder 31 |
| 4 | 32 ÷ 31 = 1 remainder 1 |
| 5 | 31 ÷ 1 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 48 | 1008 |
| 153 and 142 | 21726 |
| 66 and 34 | 1122 |
| 175 and 60 | 2100 |
| 13 and 118 | 1534 |