Least Common Multiple (LCM) of 163 and 126
The least common multiple (LCM) of 163 and 126 is 20538.
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 126?
First, calculate the GCD of 163 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 126 = 1 remainder 37 |
| 2 | 126 ÷ 37 = 3 remainder 15 |
| 3 | 37 ÷ 15 = 2 remainder 7 |
| 4 | 15 ÷ 7 = 2 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 197 | 20291 |
| 190 and 110 | 2090 |
| 182 and 45 | 8190 |
| 95 and 86 | 8170 |
| 107 and 15 | 1605 |