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 |
|---|---|
| 161 and 171 | 27531 |
| 131 and 19 | 2489 |
| 89 and 200 | 17800 |
| 182 and 79 | 14378 |
| 192 and 92 | 4416 |