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 |
|---|---|
| 134 and 10 | 670 |
| 156 and 138 | 3588 |
| 55 and 24 | 1320 |
| 171 and 42 | 2394 |
| 42 and 44 | 924 |