Least Common Multiple (LCM) of 135 and 66
The least common multiple (LCM) of 135 and 66 is 2970.
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 135 and 66?
First, calculate the GCD of 135 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 66 = 2 remainder 3 |
| 2 | 66 ÷ 3 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 41 | 4469 |
| 168 and 96 | 672 |
| 188 and 174 | 16356 |
| 47 and 183 | 8601 |
| 115 and 109 | 12535 |