Least Common Multiple (LCM) of 163 and 161
The least common multiple (LCM) of 163 and 161 is 26243.
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 161?
First, calculate the GCD of 163 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 161 = 1 remainder 2 |
| 2 | 161 ÷ 2 = 80 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 42 | 840 |
| 136 and 39 | 5304 |
| 75 and 56 | 4200 |
| 16 and 176 | 176 |
| 20 and 115 | 460 |