Least Common Multiple (LCM) of 178 and 171
The least common multiple (LCM) of 178 and 171 is 30438.
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 178 and 171?
First, calculate the GCD of 178 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 171 = 1 remainder 7 |
| 2 | 171 ÷ 7 = 24 remainder 3 |
| 3 | 7 ÷ 3 = 2 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 112 | 2128 |
| 142 and 11 | 1562 |
| 138 and 182 | 12558 |
| 200 and 42 | 4200 |
| 164 and 177 | 29028 |