Least Common Multiple (LCM) of 135 and 162
The least common multiple (LCM) of 135 and 162 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 135 and 162?
First, calculate the GCD of 135 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 162 = 0 remainder 135 |
| 2 | 162 ÷ 135 = 1 remainder 27 |
| 3 | 135 ÷ 27 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 72 | 8280 |
| 103 and 47 | 4841 |
| 39 and 16 | 624 |
| 90 and 155 | 2790 |
| 175 and 22 | 3850 |