Least Common Multiple (LCM) of 41 and 62
The least common multiple (LCM) of 41 and 62 is 2542.
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 62?
First, calculate the GCD of 41 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 62 = 0 remainder 41 |
| 2 | 62 ÷ 41 = 1 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 |
|---|---|
| 101 and 47 | 4747 |
| 178 and 129 | 22962 |
| 193 and 152 | 29336 |
| 76 and 84 | 1596 |
| 192 and 179 | 34368 |