Least Common Multiple (LCM) of 133 and 196
The least common multiple (LCM) of 133 and 196 is 3724.
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 133 and 196?
First, calculate the GCD of 133 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 196 = 0 remainder 133 |
| 2 | 196 ÷ 133 = 1 remainder 63 |
| 3 | 133 ÷ 63 = 2 remainder 7 |
| 4 | 63 ÷ 7 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 114 | 12426 |
| 121 and 95 | 11495 |
| 35 and 39 | 1365 |
| 33 and 106 | 3498 |
| 171 and 136 | 23256 |