Least Common Multiple (LCM) of 149 and 198
The least common multiple (LCM) of 149 and 198 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 149 and 198?
First, calculate the GCD of 149 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 198 = 0 remainder 149 |
| 2 | 198 ÷ 149 = 1 remainder 49 |
| 3 | 149 ÷ 49 = 3 remainder 2 |
| 4 | 49 ÷ 2 = 24 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 86 | 7138 |
| 45 and 141 | 2115 |
| 123 and 110 | 13530 |
| 141 and 57 | 2679 |
| 84 and 12 | 84 |