Least Common Multiple (LCM) of 95 and 177
The least common multiple (LCM) of 95 and 177 is 16815.
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 177?
First, calculate the GCD of 95 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 177 = 0 remainder 95 |
| 2 | 177 ÷ 95 = 1 remainder 82 |
| 3 | 95 ÷ 82 = 1 remainder 13 |
| 4 | 82 ÷ 13 = 6 remainder 4 |
| 5 | 13 ÷ 4 = 3 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 159 | 6042 |
| 78 and 146 | 5694 |
| 143 and 101 | 14443 |
| 159 and 155 | 24645 |
| 142 and 84 | 5964 |