Least Common Multiple (LCM) of 74 and 92
The least common multiple (LCM) of 74 and 92 is 3404.
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 92?
First, calculate the GCD of 74 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 92 = 0 remainder 74 |
| 2 | 92 ÷ 74 = 1 remainder 18 |
| 3 | 74 ÷ 18 = 4 remainder 2 |
| 4 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 105 | 18060 |
| 81 and 134 | 10854 |
| 29 and 180 | 5220 |
| 26 and 117 | 234 |
| 188 and 74 | 6956 |