Least Common Multiple (LCM) of 134 and 163
The least common multiple (LCM) of 134 and 163 is 21842.
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 134 and 163?
First, calculate the GCD of 134 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 163 = 0 remainder 134 |
| 2 | 163 ÷ 134 = 1 remainder 29 |
| 3 | 134 ÷ 29 = 4 remainder 18 |
| 4 | 29 ÷ 18 = 1 remainder 11 |
| 5 | 18 ÷ 11 = 1 remainder 7 |
| 6 | 11 ÷ 7 = 1 remainder 4 |
| 7 | 7 ÷ 4 = 1 remainder 3 |
| 8 | 4 ÷ 3 = 1 remainder 1 |
| 9 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 32 | 224 |
| 147 and 80 | 11760 |
| 156 and 162 | 4212 |
| 26 and 99 | 2574 |
| 112 and 84 | 336 |