Least Common Multiple (LCM) of 144 and 41
The least common multiple (LCM) of 144 and 41 is 5904.
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 41?
First, calculate the GCD of 144 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 41 = 3 remainder 21 |
| 2 | 41 ÷ 21 = 1 remainder 20 |
| 3 | 21 ÷ 20 = 1 remainder 1 |
| 4 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 132 | 660 |
| 147 and 35 | 735 |
| 49 and 29 | 1421 |
| 16 and 111 | 1776 |
| 147 and 195 | 9555 |