Least Common Multiple (LCM) of 163 and 164
The least common multiple (LCM) of 163 and 164 is 26732.
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 164?
First, calculate the GCD of 163 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 164 = 0 remainder 163 |
| 2 | 164 ÷ 163 = 1 remainder 1 |
| 3 | 163 ÷ 1 = 163 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 54 | 1026 |
| 117 and 38 | 4446 |
| 127 and 40 | 5080 |
| 169 and 138 | 23322 |
| 36 and 54 | 108 |