Least Common Multiple (LCM) of 177 and 150
The least common multiple (LCM) of 177 and 150 is 8850.
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 150?
First, calculate the GCD of 177 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 150 = 1 remainder 27 |
| 2 | 150 ÷ 27 = 5 remainder 15 |
| 3 | 27 ÷ 15 = 1 remainder 12 |
| 4 | 15 ÷ 12 = 1 remainder 3 |
| 5 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 65 | 195 |
| 115 and 77 | 8855 |
| 159 and 163 | 25917 |
| 199 and 12 | 2388 |
| 190 and 179 | 34010 |