Least Common Multiple (LCM) of 174 and 50
The least common multiple (LCM) of 174 and 50 is 4350.
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 50?
First, calculate the GCD of 174 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 50 = 3 remainder 24 |
| 2 | 50 ÷ 24 = 2 remainder 2 |
| 3 | 24 ÷ 2 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 37 | 7141 |
| 32 and 164 | 1312 |
| 189 and 192 | 12096 |
| 42 and 161 | 966 |
| 175 and 77 | 1925 |