Least Common Multiple (LCM) of 158 and 163
The least common multiple (LCM) of 158 and 163 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 158 and 163?
First, calculate the GCD of 158 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 163 = 0 remainder 158 |
| 2 | 163 ÷ 158 = 1 remainder 5 |
| 3 | 158 ÷ 5 = 31 remainder 3 |
| 4 | 5 ÷ 3 = 1 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 110 | 1980 |
| 162 and 111 | 5994 |
| 105 and 34 | 3570 |
| 178 and 125 | 22250 |
| 82 and 84 | 3444 |