Least Common Multiple (LCM) of 124 and 163
The least common multiple (LCM) of 124 and 163 is 20212.
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 124 and 163?
First, calculate the GCD of 124 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 163 = 0 remainder 124 |
| 2 | 163 ÷ 124 = 1 remainder 39 |
| 3 | 124 ÷ 39 = 3 remainder 7 |
| 4 | 39 ÷ 7 = 5 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 113 | 13108 |
| 200 and 91 | 18200 |
| 68 and 193 | 13124 |
| 173 and 173 | 173 |
| 32 and 135 | 4320 |