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 |
|---|---|
| 120 and 102 | 2040 |
| 119 and 175 | 2975 |
| 186 and 41 | 7626 |
| 107 and 143 | 15301 |
| 141 and 189 | 8883 |