Least Common Multiple (LCM) of 144 and 162
The least common multiple (LCM) of 144 and 162 is 1296.
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 144 and 162?
First, calculate the GCD of 144 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 162 = 0 remainder 144 |
| 2 | 162 ÷ 144 = 1 remainder 18 |
| 3 | 144 ÷ 18 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 56 | 168 |
| 84 and 172 | 3612 |
| 21 and 157 | 3297 |
| 47 and 153 | 7191 |
| 109 and 33 | 3597 |