Least Common Multiple (LCM) of 171 and 158
The least common multiple (LCM) of 171 and 158 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 171 and 158?
First, calculate the GCD of 171 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 158 = 1 remainder 13 |
| 2 | 158 ÷ 13 = 12 remainder 2 |
| 3 | 13 ÷ 2 = 6 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 142 | 12070 |
| 166 and 184 | 15272 |
| 182 and 45 | 8190 |
| 189 and 76 | 14364 |
| 153 and 53 | 8109 |