Least Common Multiple (LCM) of 190 and 170
The least common multiple (LCM) of 190 and 170 is 3230.
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 190 and 170?
First, calculate the GCD of 190 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 170 = 1 remainder 20 |
| 2 | 170 ÷ 20 = 8 remainder 10 |
| 3 | 20 ÷ 10 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 165 | 27885 |
| 163 and 39 | 6357 |
| 54 and 54 | 54 |
| 31 and 116 | 3596 |
| 77 and 174 | 13398 |