Least Common Multiple (LCM) of 190 and 198
The least common multiple (LCM) of 190 and 198 is 18810.
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 198?
First, calculate the GCD of 190 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 198 = 0 remainder 190 |
| 2 | 198 ÷ 190 = 1 remainder 8 |
| 3 | 190 ÷ 8 = 23 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 93 | 3534 |
| 47 and 90 | 4230 |
| 153 and 112 | 17136 |
| 132 and 25 | 3300 |
| 175 and 11 | 1925 |