Least Common Multiple (LCM) of 170 and 198
The least common multiple (LCM) of 170 and 198 is 16830.
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 198?
First, calculate the GCD of 170 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 198 = 0 remainder 170 |
| 2 | 198 ÷ 170 = 1 remainder 28 |
| 3 | 170 ÷ 28 = 6 remainder 2 |
| 4 | 28 ÷ 2 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 177 | 18408 |
| 95 and 97 | 9215 |
| 172 and 14 | 1204 |
| 160 and 38 | 3040 |
| 48 and 63 | 1008 |