Least Common Multiple (LCM) of 198 and 160
The least common multiple (LCM) of 198 and 160 is 15840.
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 198 and 160?
First, calculate the GCD of 198 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 160 = 1 remainder 38 |
| 2 | 160 ÷ 38 = 4 remainder 8 |
| 3 | 38 ÷ 8 = 4 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 27 | 162 |
| 62 and 53 | 3286 |
| 110 and 54 | 2970 |
| 143 and 134 | 19162 |
| 174 and 33 | 1914 |