Least Common Multiple (LCM) of 104 and 58
The least common multiple (LCM) of 104 and 58 is 3016.
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 58?
First, calculate the GCD of 104 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 58 = 1 remainder 46 |
| 2 | 58 ÷ 46 = 1 remainder 12 |
| 3 | 46 ÷ 12 = 3 remainder 10 |
| 4 | 12 ÷ 10 = 1 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 140 | 560 |
| 110 and 111 | 12210 |
| 83 and 124 | 10292 |
| 20 and 60 | 60 |
| 18 and 124 | 1116 |