Least Common Multiple (LCM) of 163 and 81
The least common multiple (LCM) of 163 and 81 is 13203.
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 81?
First, calculate the GCD of 163 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 81 = 2 remainder 1 |
| 2 | 81 ÷ 1 = 81 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 30 | 840 |
| 120 and 111 | 4440 |
| 167 and 146 | 24382 |
| 92 and 55 | 5060 |
| 194 and 111 | 21534 |