Least Common Multiple (LCM) of 41 and 49
The least common multiple (LCM) of 41 and 49 is 2009.
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 49?
First, calculate the GCD of 41 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 49 = 0 remainder 41 |
| 2 | 49 ÷ 41 = 1 remainder 8 |
| 3 | 41 ÷ 8 = 5 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 162 | 3564 |
| 117 and 97 | 11349 |
| 58 and 48 | 1392 |
| 42 and 122 | 2562 |
| 185 and 115 | 4255 |