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 |
|---|---|
| 33 and 115 | 3795 |
| 106 and 105 | 11130 |
| 170 and 126 | 10710 |
| 85 and 48 | 4080 |
| 188 and 52 | 2444 |