Least Common Multiple (LCM) of 133 and 143
The least common multiple (LCM) of 133 and 143 is 19019.
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 143?
First, calculate the GCD of 133 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 143 = 0 remainder 133 |
| 2 | 143 ÷ 133 = 1 remainder 10 |
| 3 | 133 ÷ 10 = 13 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 14 | 1036 |
| 180 and 182 | 16380 |
| 104 and 136 | 1768 |
| 182 and 46 | 4186 |
| 104 and 46 | 2392 |