Least Common Multiple (LCM) of 163 and 148
The least common multiple (LCM) of 163 and 148 is 24124.
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 148?
First, calculate the GCD of 163 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 148 = 1 remainder 15 |
| 2 | 148 ÷ 15 = 9 remainder 13 |
| 3 | 15 ÷ 13 = 1 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 126 | 1260 |
| 165 and 118 | 19470 |
| 185 and 200 | 7400 |
| 56 and 80 | 560 |
| 146 and 173 | 25258 |