Least Common Multiple (LCM) of 41 and 61
The least common multiple (LCM) of 41 and 61 is 2501.
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 61?
First, calculate the GCD of 41 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 61 = 0 remainder 41 |
| 2 | 61 ÷ 41 = 1 remainder 20 |
| 3 | 41 ÷ 20 = 2 remainder 1 |
| 4 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 121 | 2057 |
| 129 and 51 | 2193 |
| 106 and 63 | 6678 |
| 105 and 190 | 3990 |
| 117 and 145 | 16965 |