Least Common Multiple (LCM) of 148 and 163
The least common multiple (LCM) of 148 and 163 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 148 and 163?
First, calculate the GCD of 148 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 163 = 0 remainder 148 |
| 2 | 163 ÷ 148 = 1 remainder 15 |
| 3 | 148 ÷ 15 = 9 remainder 13 |
| 4 | 15 ÷ 13 = 1 remainder 2 |
| 5 | 13 ÷ 2 = 6 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 23 | 2576 |
| 107 and 90 | 9630 |
| 177 and 177 | 177 |
| 147 and 171 | 8379 |
| 67 and 115 | 7705 |