Least Common Multiple (LCM) of 41 and 76
The least common multiple (LCM) of 41 and 76 is 3116.
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 76?
First, calculate the GCD of 41 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 76 = 0 remainder 41 |
| 2 | 76 ÷ 41 = 1 remainder 35 |
| 3 | 41 ÷ 35 = 1 remainder 6 |
| 4 | 35 ÷ 6 = 5 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 29 | 5365 |
| 174 and 197 | 34278 |
| 182 and 24 | 2184 |
| 195 and 68 | 13260 |
| 171 and 137 | 23427 |