Least Common Multiple (LCM) of 161 and 163
The least common multiple (LCM) of 161 and 163 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 161 and 163?
First, calculate the GCD of 161 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 163 = 0 remainder 161 |
| 2 | 163 ÷ 161 = 1 remainder 2 |
| 3 | 161 ÷ 2 = 80 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 12 | 588 |
| 151 and 28 | 4228 |
| 28 and 14 | 28 |
| 90 and 35 | 630 |
| 40 and 25 | 200 |