Least Common Multiple (LCM) of 164 and 163
The least common multiple (LCM) of 164 and 163 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 164 and 163?
First, calculate the GCD of 164 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 163 = 1 remainder 1 |
| 2 | 163 ÷ 1 = 163 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 25 | 2600 |
| 109 and 183 | 19947 |
| 71 and 72 | 5112 |
| 41 and 102 | 4182 |
| 190 and 85 | 3230 |