Least Common Multiple (LCM) of 193 and 158
The least common multiple (LCM) of 193 and 158 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 193 and 158?
First, calculate the GCD of 193 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 158 = 1 remainder 35 |
| 2 | 158 ÷ 35 = 4 remainder 18 |
| 3 | 35 ÷ 18 = 1 remainder 17 |
| 4 | 18 ÷ 17 = 1 remainder 1 |
| 5 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 135 | 21330 |
| 52 and 15 | 780 |
| 10 and 129 | 1290 |
| 155 and 116 | 17980 |
| 170 and 40 | 680 |