Least Common Multiple (LCM) of 41 and 43
The least common multiple (LCM) of 41 and 43 is 1763.
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 43?
First, calculate the GCD of 41 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 43 = 0 remainder 41 |
| 2 | 43 ÷ 41 = 1 remainder 2 |
| 3 | 41 ÷ 2 = 20 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 84 | 1428 |
| 67 and 135 | 9045 |
| 141 and 151 | 21291 |
| 153 and 170 | 1530 |
| 37 and 127 | 4699 |