Least Common Multiple (LCM) of 133 and 144
The least common multiple (LCM) of 133 and 144 is 19152.
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 144?
First, calculate the GCD of 133 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 144 = 0 remainder 133 |
| 2 | 144 ÷ 133 = 1 remainder 11 |
| 3 | 133 ÷ 11 = 12 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 66 | 2112 |
| 95 and 86 | 8170 |
| 195 and 165 | 2145 |
| 178 and 135 | 24030 |
| 109 and 146 | 15914 |