Least Common Multiple (LCM) of 74 and 41
The least common multiple (LCM) of 74 and 41 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 74 and 41?
First, calculate the GCD of 74 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 41 = 1 remainder 33 |
| 2 | 41 ÷ 33 = 1 remainder 8 |
| 3 | 33 ÷ 8 = 4 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 167 | 14529 |
| 43 and 123 | 5289 |
| 76 and 196 | 3724 |
| 163 and 81 | 13203 |
| 10 and 38 | 190 |