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 |
|---|---|
| 130 and 55 | 1430 |
| 61 and 111 | 6771 |
| 137 and 10 | 1370 |
| 121 and 137 | 16577 |
| 109 and 54 | 5886 |