Least Common Multiple (LCM) of 133 and 145
The least common multiple (LCM) of 133 and 145 is 19285.
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 145?
First, calculate the GCD of 133 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 145 = 0 remainder 133 |
| 2 | 145 ÷ 133 = 1 remainder 12 |
| 3 | 133 ÷ 12 = 11 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 72 | 792 |
| 180 and 91 | 16380 |
| 144 and 114 | 2736 |
| 41 and 64 | 2624 |
| 160 and 16 | 160 |