Least Common Multiple (LCM) of 174 and 41
The least common multiple (LCM) of 174 and 41 is 7134.
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 174 and 41?
First, calculate the GCD of 174 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 41 = 4 remainder 10 |
| 2 | 41 ÷ 10 = 4 remainder 1 |
| 3 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 135 | 26865 |
| 144 and 126 | 1008 |
| 167 and 193 | 32231 |
| 194 and 26 | 2522 |
| 29 and 110 | 3190 |