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 |
|---|---|
| 135 and 138 | 6210 |
| 74 and 81 | 5994 |
| 138 and 46 | 138 |
| 103 and 169 | 17407 |
| 163 and 147 | 23961 |