Least Common Multiple (LCM) of 58 and 104
The least common multiple (LCM) of 58 and 104 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 58 and 104?
First, calculate the GCD of 58 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 104 = 0 remainder 58 |
| 2 | 104 ÷ 58 = 1 remainder 46 |
| 3 | 58 ÷ 46 = 1 remainder 12 |
| 4 | 46 ÷ 12 = 3 remainder 10 |
| 5 | 12 ÷ 10 = 1 remainder 2 |
| 6 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 111 | 21090 |
| 94 and 113 | 10622 |
| 188 and 103 | 19364 |
| 61 and 84 | 5124 |
| 107 and 198 | 21186 |