Least Common Multiple (LCM) of 132 and 145
The least common multiple (LCM) of 132 and 145 is 19140.
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 145?
First, calculate the GCD of 132 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 145 = 0 remainder 132 |
| 2 | 145 ÷ 132 = 1 remainder 13 |
| 3 | 132 ÷ 13 = 10 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 12 | 84 |
| 154 and 154 | 154 |
| 44 and 11 | 44 |
| 13 and 99 | 1287 |
| 96 and 71 | 6816 |