Least Common Multiple (LCM) of 196 and 136
The least common multiple (LCM) of 196 and 136 is 6664.
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 196 and 136?
First, calculate the GCD of 196 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 136 = 1 remainder 60 |
| 2 | 136 ÷ 60 = 2 remainder 16 |
| 3 | 60 ÷ 16 = 3 remainder 12 |
| 4 | 16 ÷ 12 = 1 remainder 4 |
| 5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 182 | 546 |
| 195 and 110 | 4290 |
| 172 and 54 | 4644 |
| 39 and 47 | 1833 |
| 119 and 83 | 9877 |