Least Common Multiple (LCM) of 161 and 177
The least common multiple (LCM) of 161 and 177 is 28497.
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 161 and 177?
First, calculate the GCD of 161 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 177 = 0 remainder 161 |
| 2 | 177 ÷ 161 = 1 remainder 16 |
| 3 | 161 ÷ 16 = 10 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 153 | 1224 |
| 80 and 71 | 5680 |
| 107 and 92 | 9844 |
| 47 and 175 | 8225 |
| 138 and 42 | 966 |