Least Common Multiple (LCM) of 148 and 177
The least common multiple (LCM) of 148 and 177 is 26196.
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 148 and 177?
First, calculate the GCD of 148 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 177 = 0 remainder 148 |
| 2 | 177 ÷ 148 = 1 remainder 29 |
| 3 | 148 ÷ 29 = 5 remainder 3 |
| 4 | 29 ÷ 3 = 9 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 86 | 11782 |
| 137 and 139 | 19043 |
| 184 and 52 | 2392 |
| 41 and 140 | 5740 |
| 47 and 25 | 1175 |