Least Common Multiple (LCM) of 132 and 134
The least common multiple (LCM) of 132 and 134 is 8844.
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 132 and 134?
First, calculate the GCD of 132 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 134 = 0 remainder 132 |
| 2 | 134 ÷ 132 = 1 remainder 2 |
| 3 | 132 ÷ 2 = 66 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 159 | 954 |
| 29 and 191 | 5539 |
| 195 and 45 | 585 |
| 71 and 110 | 7810 |
| 181 and 169 | 30589 |