Least Common Multiple (LCM) of 163 and 162
The least common multiple (LCM) of 163 and 162 is 26406.
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 162?
First, calculate the GCD of 163 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 162 = 1 remainder 1 |
| 2 | 162 ÷ 1 = 162 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 193 | 19686 |
| 23 and 22 | 506 |
| 180 and 165 | 1980 |
| 44 and 124 | 1364 |
| 190 and 78 | 7410 |