Least Common Multiple (LCM) of 170 and 190
The least common multiple (LCM) of 170 and 190 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 170 and 190?
First, calculate the GCD of 170 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 190 = 0 remainder 170 |
| 2 | 190 ÷ 170 = 1 remainder 20 |
| 3 | 170 ÷ 20 = 8 remainder 10 |
| 4 | 20 ÷ 10 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 38 | 3078 |
| 59 and 62 | 3658 |
| 17 and 13 | 221 |
| 26 and 61 | 1586 |
| 17 and 18 | 306 |