Least Common Multiple (LCM) of 104 and 74
The least common multiple (LCM) of 104 and 74 is 3848.
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 104 and 74?
First, calculate the GCD of 104 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 74 = 1 remainder 30 |
| 2 | 74 ÷ 30 = 2 remainder 14 |
| 3 | 30 ÷ 14 = 2 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 93 | 8463 |
| 50 and 173 | 8650 |
| 113 and 49 | 5537 |
| 197 and 52 | 10244 |
| 86 and 23 | 1978 |