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 |
|---|---|
| 116 and 24 | 696 |
| 56 and 147 | 1176 |
| 189 and 60 | 3780 |
| 88 and 161 | 14168 |
| 14 and 108 | 756 |