Least Common Multiple (LCM) of 41 and 74
The least common multiple (LCM) of 41 and 74 is 3034.
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 74?
First, calculate the GCD of 41 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 74 = 0 remainder 41 |
| 2 | 74 ÷ 41 = 1 remainder 33 |
| 3 | 41 ÷ 33 = 1 remainder 8 |
| 4 | 33 ÷ 8 = 4 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 55 | 1595 |
| 143 and 96 | 13728 |
| 19 and 198 | 3762 |
| 17 and 148 | 2516 |
| 56 and 135 | 7560 |