Least Common Multiple (LCM) of 177 and 160
The least common multiple (LCM) of 177 and 160 is 28320.
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 160?
First, calculate the GCD of 177 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 160 = 1 remainder 17 |
| 2 | 160 ÷ 17 = 9 remainder 7 |
| 3 | 17 ÷ 7 = 2 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 16 | 816 |
| 123 and 164 | 492 |
| 22 and 30 | 330 |
| 65 and 94 | 6110 |
| 59 and 166 | 9794 |