Least Common Multiple (LCM) of 158 and 194
The least common multiple (LCM) of 158 and 194 is 15326.
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 194?
First, calculate the GCD of 158 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 194 = 0 remainder 158 |
| 2 | 194 ÷ 158 = 1 remainder 36 |
| 3 | 158 ÷ 36 = 4 remainder 14 |
| 4 | 36 ÷ 14 = 2 remainder 8 |
| 5 | 14 ÷ 8 = 1 remainder 6 |
| 6 | 8 ÷ 6 = 1 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 148 | 5624 |
| 152 and 11 | 1672 |
| 59 and 74 | 4366 |
| 75 and 177 | 4425 |
| 99 and 27 | 297 |