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 |
|---|---|
| 168 and 103 | 17304 |
| 78 and 62 | 2418 |
| 14 and 80 | 560 |
| 58 and 43 | 2494 |
| 177 and 125 | 22125 |