Least Common Multiple (LCM) of 41 and 91
The least common multiple (LCM) of 41 and 91 is 3731.
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 91?
First, calculate the GCD of 41 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 91 = 0 remainder 41 |
| 2 | 91 ÷ 41 = 2 remainder 9 |
| 3 | 41 ÷ 9 = 4 remainder 5 |
| 4 | 9 ÷ 5 = 1 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 28 | 3612 |
| 99 and 166 | 16434 |
| 171 and 161 | 27531 |
| 38 and 46 | 874 |
| 106 and 178 | 9434 |