Least Common Multiple (LCM) of 162 and 135
The least common multiple (LCM) of 162 and 135 is 810.
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 162 and 135?
First, calculate the GCD of 162 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 135 = 1 remainder 27 |
| 2 | 135 ÷ 27 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 43 | 7826 |
| 35 and 84 | 420 |
| 154 and 171 | 26334 |
| 165 and 153 | 8415 |
| 138 and 74 | 5106 |