Least Common Multiple (LCM) of 177 and 148
The least common multiple (LCM) of 177 and 148 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 177 and 148?
First, calculate the GCD of 177 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 148 = 1 remainder 29 |
| 2 | 148 ÷ 29 = 5 remainder 3 |
| 3 | 29 ÷ 3 = 9 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 57 | 8436 |
| 183 and 75 | 4575 |
| 116 and 75 | 8700 |
| 176 and 162 | 14256 |
| 43 and 76 | 3268 |