Least Common Multiple (LCM) of 194 and 170
The least common multiple (LCM) of 194 and 170 is 16490.
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 170?
First, calculate the GCD of 194 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 170 = 1 remainder 24 |
| 2 | 170 ÷ 24 = 7 remainder 2 |
| 3 | 24 ÷ 2 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 110 | 13090 |
| 190 and 20 | 380 |
| 101 and 186 | 18786 |
| 22 and 113 | 2486 |
| 175 and 177 | 30975 |