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 |
|---|---|
| 99 and 154 | 1386 |
| 191 and 10 | 1910 |
| 145 and 52 | 7540 |
| 148 and 97 | 14356 |
| 42 and 26 | 546 |