Least Common Multiple (LCM) of 198 and 134
The least common multiple (LCM) of 198 and 134 is 13266.
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 134?
First, calculate the GCD of 198 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 134 = 1 remainder 64 |
| 2 | 134 ÷ 64 = 2 remainder 6 |
| 3 | 64 ÷ 6 = 10 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 183 | 8967 |
| 183 and 14 | 2562 |
| 17 and 72 | 1224 |
| 41 and 142 | 5822 |
| 62 and 70 | 2170 |