Least Common Multiple (LCM) of 163 and 158
The least common multiple (LCM) of 163 and 158 is 25754.
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 158?
First, calculate the GCD of 163 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 158 = 1 remainder 5 |
| 2 | 158 ÷ 5 = 31 remainder 3 |
| 3 | 5 ÷ 3 = 1 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 34 | 2448 |
| 157 and 187 | 29359 |
| 91 and 58 | 5278 |
| 96 and 70 | 3360 |
| 105 and 90 | 630 |