Least Common Multiple (LCM) of 163 and 82
The least common multiple (LCM) of 163 and 82 is 13366.
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 82?
First, calculate the GCD of 163 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 82 = 1 remainder 81 |
| 2 | 82 ÷ 81 = 1 remainder 1 |
| 3 | 81 ÷ 1 = 81 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 179 | 23091 |
| 111 and 33 | 1221 |
| 142 and 62 | 4402 |
| 105 and 86 | 9030 |
| 190 and 40 | 760 |