Least Common Multiple (LCM) of 177 and 95
The least common multiple (LCM) of 177 and 95 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 177 and 95?
First, calculate the GCD of 177 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 95 = 1 remainder 82 |
| 2 | 95 ÷ 82 = 1 remainder 13 |
| 3 | 82 ÷ 13 = 6 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 46 | 4462 |
| 98 and 72 | 3528 |
| 32 and 30 | 480 |
| 71 and 25 | 1775 |
| 137 and 177 | 24249 |