Least Common Multiple (LCM) of 198 and 146
The least common multiple (LCM) of 198 and 146 is 14454.
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 146?
First, calculate the GCD of 198 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 146 = 1 remainder 52 |
| 2 | 146 ÷ 52 = 2 remainder 42 |
| 3 | 52 ÷ 42 = 1 remainder 10 |
| 4 | 42 ÷ 10 = 4 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 76 | 3572 |
| 14 and 109 | 1526 |
| 167 and 162 | 27054 |
| 140 and 119 | 2380 |
| 77 and 148 | 11396 |