Least Common Multiple (LCM) of 136 and 198
The least common multiple (LCM) of 136 and 198 is 13464.
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 136 and 198?
First, calculate the GCD of 136 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 198 = 0 remainder 136 |
| 2 | 198 ÷ 136 = 1 remainder 62 |
| 3 | 136 ÷ 62 = 2 remainder 12 |
| 4 | 62 ÷ 12 = 5 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 131 | 14541 |
| 131 and 149 | 19519 |
| 193 and 55 | 10615 |
| 20 and 77 | 1540 |
| 145 and 156 | 22620 |