Least Common Multiple (LCM) of 181 and 174
The least common multiple (LCM) of 181 and 174 is 31494.
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 181 and 174?
First, calculate the GCD of 181 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 181 ÷ 174 = 1 remainder 7 |
| 2 | 174 ÷ 7 = 24 remainder 6 |
| 3 | 7 ÷ 6 = 1 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 83 | 913 |
| 61 and 193 | 11773 |
| 108 and 185 | 19980 |
| 61 and 188 | 11468 |
| 30 and 135 | 270 |