Least Common Multiple (LCM) of 12 and 133
The least common multiple (LCM) of 12 and 133 is 1596.
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 12 and 133?
First, calculate the GCD of 12 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 12 ÷ 133 = 0 remainder 12 |
| 2 | 133 ÷ 12 = 11 remainder 1 |
| 3 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 65 | 9555 |
| 188 and 186 | 17484 |
| 128 and 111 | 14208 |
| 101 and 18 | 1818 |
| 165 and 150 | 1650 |