Least Common Multiple (LCM) of 194 and 175
The least common multiple (LCM) of 194 and 175 is 33950.
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 194 and 175?
First, calculate the GCD of 194 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 175 = 1 remainder 19 |
| 2 | 175 ÷ 19 = 9 remainder 4 |
| 3 | 19 ÷ 4 = 4 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 174 | 32538 |
| 71 and 196 | 13916 |
| 56 and 34 | 952 |
| 46 and 192 | 4416 |
| 14 and 164 | 1148 |