Least Common Multiple (LCM) of 41 and 144
The least common multiple (LCM) of 41 and 144 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 41 and 144?
First, calculate the GCD of 41 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 144 = 0 remainder 41 |
| 2 | 144 ÷ 41 = 3 remainder 21 |
| 3 | 41 ÷ 21 = 1 remainder 20 |
| 4 | 21 ÷ 20 = 1 remainder 1 |
| 5 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 165 | 31845 |
| 59 and 140 | 8260 |
| 180 and 30 | 180 |
| 116 and 62 | 3596 |
| 123 and 165 | 6765 |