Least Common Multiple (LCM) of 41 and 54
The least common multiple (LCM) of 41 and 54 is 2214.
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 54?
First, calculate the GCD of 41 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 54 = 0 remainder 41 |
| 2 | 54 ÷ 41 = 1 remainder 13 |
| 3 | 41 ÷ 13 = 3 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 172 | 1204 |
| 141 and 82 | 11562 |
| 200 and 81 | 16200 |
| 200 and 121 | 24200 |
| 100 and 82 | 4100 |