Least Common Multiple (LCM) of 198 and 149
The least common multiple (LCM) of 198 and 149 is 29502.
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 149?
First, calculate the GCD of 198 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 149 = 1 remainder 49 |
| 2 | 149 ÷ 49 = 3 remainder 2 |
| 3 | 49 ÷ 2 = 24 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 110 | 14630 |
| 100 and 191 | 19100 |
| 67 and 138 | 9246 |
| 60 and 51 | 1020 |
| 60 and 134 | 4020 |