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 |
|---|---|
| 34 and 190 | 3230 |
| 50 and 57 | 2850 |
| 115 and 176 | 20240 |
| 16 and 174 | 1392 |
| 134 and 51 | 6834 |