Least Common Multiple (LCM) of 162 and 163
The least common multiple (LCM) of 162 and 163 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 162 and 163?
First, calculate the GCD of 162 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 163 = 0 remainder 162 |
| 2 | 163 ÷ 162 = 1 remainder 1 |
| 3 | 162 ÷ 1 = 162 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 161 | 9177 |
| 140 and 49 | 980 |
| 78 and 12 | 156 |
| 79 and 98 | 7742 |
| 113 and 117 | 13221 |