Least Common Multiple (LCM) of 158 and 171
The least common multiple (LCM) of 158 and 171 is 27018.
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 171?
First, calculate the GCD of 158 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 171 = 0 remainder 158 |
| 2 | 171 ÷ 158 = 1 remainder 13 |
| 3 | 158 ÷ 13 = 12 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 198 | 35442 |
| 177 and 136 | 24072 |
| 184 and 188 | 8648 |
| 111 and 22 | 2442 |
| 94 and 154 | 7238 |