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 |
|---|---|
| 64 and 49 | 3136 |
| 67 and 47 | 3149 |
| 193 and 140 | 27020 |
| 133 and 155 | 20615 |
| 132 and 18 | 396 |