Least Common Multiple (LCM) of 163 and 80
The least common multiple (LCM) of 163 and 80 is 13040.
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 163 and 80?
First, calculate the GCD of 163 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 80 = 2 remainder 3 |
| 2 | 80 ÷ 3 = 26 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 101 | 14241 |
| 111 and 117 | 4329 |
| 192 and 126 | 4032 |
| 71 and 86 | 6106 |
| 118 and 105 | 12390 |