Least Common Multiple (LCM) of 160 and 177
The least common multiple (LCM) of 160 and 177 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 160 and 177?
First, calculate the GCD of 160 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 177 = 0 remainder 160 |
| 2 | 177 ÷ 160 = 1 remainder 17 |
| 3 | 160 ÷ 17 = 9 remainder 7 |
| 4 | 17 ÷ 7 = 2 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 116 | 116 |
| 112 and 125 | 14000 |
| 113 and 41 | 4633 |
| 109 and 152 | 16568 |
| 176 and 169 | 29744 |