Least Common Multiple (LCM) of 158 and 193
The least common multiple (LCM) of 158 and 193 is 30494.
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 193?
First, calculate the GCD of 158 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 193 = 0 remainder 158 |
| 2 | 193 ÷ 158 = 1 remainder 35 |
| 3 | 158 ÷ 35 = 4 remainder 18 |
| 4 | 35 ÷ 18 = 1 remainder 17 |
| 5 | 18 ÷ 17 = 1 remainder 1 |
| 6 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 199 | 6169 |
| 70 and 100 | 700 |
| 59 and 15 | 885 |
| 122 and 163 | 19886 |
| 100 and 83 | 8300 |